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TOKUNAGA Hiroo  徳永 浩雄

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… Alternative Names

徳永 浩雄  トクナカ゛ ヒロオ

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Researcher Number 30211395
Other IDs
External Links
Affiliation (Current) 2025: 東京都立大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help 2020 – 2025: 東京都立大学, 理学研究科, 教授
2017 – 2019: 首都大学東京, 理学研究科, 教授
2006 – 2017: Tokyo metropolitan University, Department of mathematics and informatics, Professor, 理工学研究科, 教授
2015: 首都大学東京, 大学院理工学研究科, 教授
2013: 首都大学, 東京理工学研究科, 教授 … More
2007 – 2012: Tokyo Metropolitan University, 大学院・理工学研究科, 教授
2010: 首都大学東京, 理工研究科, 教授
2009: 首都大学東京, 理工学部・研究科, 教授
2008: 首都大学, 東京理工学研究科, 教授
2008: 首都大学東京, 都市教養学部・理工系, 教授
2007: 大阪大学, 首都大学東京・都市教養学部理工学系, 教授
2007: Tokyo Metropolitan University, Grad. school of science and engineering, Professor
2005 – 2007: 首都大学東京, 都市教養学部理工学系, 教授
2006: 首都大学東京, 大学院理工学研究科, 教授
2006: 首都大学東京, 郡市教養学部, 教授
2005 – 2006: 首都大学東京, 都市教養学部, 教授
2005 – 2006: 首都大学東京, 都市教養部理工系, 教授
2005: 首都大学東京, 都市教養学部・理工学系, 教授
2001 – 2004: Tokyo Metropolitan Univ., Department of Math., Assistant Professor, 理学研究科, 助教授
2000 – 2004: Tokyo Metropolitan University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授
1994 – 1999: 高知大学, 理学部, 助教授
1992 – 1993: 高知大学, 理学部, 助手
1990: 高知大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related / Fundamental theory of informatics
Except Principal Investigator
Algebra / Algebra / Geometry / Intelligent informatics / Geometry / 代数学・幾何学 / Medium-sized Section 11:Algebra, geometry, and related fields / Basic Section 11020:Geometry-related / 解析学
Keywords
Principal Investigator
Zariski pair / Mordell-Weil群 / 楕円曲面 / 基本群 / 曲線配置 / 楕円曲線 / Galois被覆 / Alexander多項式 / Galois分岐被覆 / ザリスキ対 … More / 分解数 / Mumford表現 / 埋め込み位相 / 多重切断 / Groebner基底 / Galois cover / Mordell-Weil格子 / Zariski N 組 / splitting curve / ザリスキ・ペア / dihedral Galois covering / 非有理次数 / height pairing / branch locus / 超楕円曲線束 / coni-line arrangement / モーデル-ヴェイユ格子 / マンフォード表現 / quasi-toric relation / contact curve / 因子類 / 低次曲線配置 / quasi toric relation / 超楕円曲線 / realization space / conic-line配置 / Ponceletの閉定理 / グレブナ基底 / Mumford 表現 / quasi-toric relations / 曲線配置のトポロジー / quasi torus分解 / 連結数 / モデュラー曲線 / Abel-Jacobi写像 / Zariski対 / Zariski N-ple / Mordell curves / rational double points / super singular K3 surfaces / Zariski κ-plet / cubic fields / fundahnental group / versal cover / 超特異κ3曲面 / Zariski Κ-plet / Mordell曲線 / 有理2重点 / 超特異K3曲面 / Zariski k-plet / 3次体 / versal被覆 / lattices / elliptic curve / elliptic surface / dual curves / (2, 3) torus curves / Linear representaion / Fiber sum / 交点数 / 格子 / 双対曲線 / (2,3)torus曲線 / 線型表現 / Zariski k組 / ガロア分岐被覆 / Jacobi多様体 / Zariski N組 / ペアリング / 暗号 / 不定方程式 / Zariski 対 / 有理楕円曲面 / bisection / k Artal arrangement / contact conic / Zariski ペア / 2重切断 / 整切断 / Mordell Weil群 / conic-line arrangement / section / 二面体被覆 / アーベル・ヤコビ写像 / 楕円曲面の切断 / 分解曲線 / 特異K3曲面 / 3次被覆 / versal Galois被覆 / 引き戻し構成 / non-Galois 3次被覆 / 相互法則 / 下方集合 / Dickgonの補題 / 特異点解消 / ニュートン図形 / トーリック多様体 / 多項式環 / 特徴例集合 / 有限の弾力性 / Noether環 / 正例からの極限同定可能性 / Albanese次元 / torus分解 / dihedral Galors被覆 / S_4被覆 / semi-stable elliptic surface / 6次曲線 / ザリスキペア / ガロア被覆 … More
Except Principal Investigator
ガロワ点 / ガロワ群 / 分岐被覆 / 超平面配置 / 基本群 / ガロワ埋め込み / 楕円曲線 / K3曲面 / 代数曲線 / Galois point / Galois group / ガロワ直線 / 自己同型群 / 代数曲面 / ガロワ被覆 / 代数幾何学 / K3 surface / 代数多様体 / algebraic surface / ガロア被覆 / ザリスキー対 / Galois embedding / Zariski対 / アーベル曲面 / 特異点 / モジュライ空間 / 局所系コホモロジー / 鏡映群 / 超幾何積分 / 対数的ベクトル場 / ミルナーファイバー / dual variety / fundamental group / rational double point / supersingularity / lattices / plane curve / NZMATH / Python / Mordell-Weil lattice / birational transformation / 6次曲線 / 格子 / function field / 関数体 / reflection group / local system cohomology / hyperplane arrangement / algebraic curve / Fundamental group / Galois line / モーデル・ヴェイユ格子 / モノドロミー / 局所不変量 / 楕円曲面 / 代数曲線束 / 射影 / 代数学 / Alexander多項式 / ミルナー束 / 双有理変換 / 写像類群 / 退化 / 知識発見 / 機械学習 / 量子コホモロジー / 可積分系 / 幾何学 / 下方集合 / 数え上げ / 二重被覆空間 / ポセット / マグニチュード / 多面体 / 特性準多項式 / 滑層空間 / 離散構造 / エルハート理論 / 被覆空間 / 数え上げ関数 / リサージュ曲線 / リース積 / 平面代数曲線 / 射影代数多様体 / 準ガロワ点 / エルハルト多項式 / 特性多項式 / 二次曲線配置 / 実構造 / オイラー多項式 / bi-elliptic surface / 被覆 / 正標数 / 超特異性 / グレブナー基底 / 平面曲線 / abelian surface / ガロワ群の表現 / ガロワ部分空間 / non-reduced degenerations / Dihedral covers / theta-Alexander polynomials / Zariski pairs / Alexander polynomial / トーラス型 / line-退化 / thetaアレクサンダー多項 / 接アレクサンダー多項式 / ヤコビアン予想 / 交点数 / non-reduced degeneration / tangential Alexander多項式 / non-reducedな退化 / Dihedral被覆 / theta-Alexander多項式 / system for number theory / cryptologic research / algorithmic number theory / 量子公開鍵暗号 / 数論システム / 暗号理論 / 数論アルゴリズム / Zanski pair / branched covering / local signature / Pencil of algebraic curves / 超特異K3局面 / コンパクト化 / 符号数 / モジュライ / fibration / 有理曲面 / endomorphism / 標準線形系 / スロープ / 標準サイクル / ガロア点 / 局所符号数 / ramified covering / automorphism group / space algebraic curve / 被覆多様体 / 空間代数曲線 / Galocs cover / code / lattice / singularity / tundamental group / 柊子 / 符号 / Miranda-Persson's Problem / Elliptic Surface / Mordell-Weil Rank / Mordell-Weil Group / Cubic Generic Polynomial / Elliptic Curve / Mordell Curve / Cubic Field / Fermat3次曲線 / 3次twist / generic polynomial / Hilbert's Th.90 / 生成多項式 / 3次巡回体 / Miranda-Perssonの問題 / Mordell-Weil rank / Mordell-Weil群 / 3次生成的多項式 / Mordell曲線 / 3次体 / hypergeometric integral / moduli space / stable vector bundle / Calabi-Yau manifold / 安定ベクトル束 / カラビ-ヤウ多様体 / Galoi line / space curve / projection / hypersurface / 射影空間 / 空間曲線 / 超曲面 / hyper geometric integral / 組合せ同値 / 対数的極 / KZ方程式 / ガウス・マニン接続 / maximal rational intermediate subfield / Kodaira dimension / degree of irrationality / 極大有理中間体 / 非有理次数 / 極大有理的中間体 / 小平次元 / 非有利次数 / Elliptic Curves / Singular foliation / Singularity / Knot / Characteristic Class / Galois covering / Zariski Pair / 完全交差 / 葉層構造 / Zariski 対 / 特異点 解消 / トーリック埋め込み / Adjunction公式 / トーリック写像 / σS_3被覆 / 双対曲線 / 特異点をもつ葉層 / ノット / 特性類 / 射影多様体 / finite covering / ガロワ閉包多様体 / オービフォールド特性類 / ホッジ理論 / 退化族 / 特異ファイバー / 原始的双有理変換 / 対数的混合ホッジ構造 / 自己同型 / 堀川指数 / フラクタル / 離散構造データ / 実数計算 / 閉集合 / 形式概念解析 / 単尖点有理曲線 / 種数1の曲線 / Eisenstein級数 / 組みひも群 / ガロア・タイヒミュラー理論 / デデキント和 / モノドロミー表現 / 整数論 / 国際研究者交流 / 遠アーベル幾何 / 数論幾何学 / Polar作用 / Milnor fibration / radially weighted / polar weihted / トム不等式 / 混合射影曲線 / 極擬斉次多項式 / 混合特異点 / contact structure / symplextic structure / polar degree / mixed function / polar weighted / Milnor fibrattion / 分岐因子 / very ample diviosr / Galois closure surface / モノドロミー群 / 最小ガロワ閉包多様体 / ペンローズ変換 / p進剛幾何学 / Hitchin接続 / 射影的平坦接続 / ユニタリ性 / ゲージ理論 / 接続 / 導来圏 / 変形パラメータ / トロピカル幾何学 / 重複ファイバー / 代数多様体の退化 / 無限可積分系 / モジュライ空 / 剛幾何学 / ゲージ対称性 / GNS構成法 / タイヒミュラー / 位相的場の理論 / モジュラー函手 / 共形場理論 / 代数科学 / 構造データ / データマイニング / 計算論的学習 / 応用数学 / 情報基礎 / 計算代数 / 帰納論理 / 学習と発見 / コンピューター実験 / 量子物理 / 可視可 / 計算機システム / 可視化 / コンピュータ実験 / トポロジー / 多重超平面配置 / 対数的微分 / 対数的微分型式 / コクセター群 / サポート・ベクトル・マシン / サポート・ベクトル / 多項式 / イデアル / ブール代数 / 極限同定 / 計算論的学習理論 / タイヒミュラー空間 / 表現空間 / 分岐理論 / 単峰写像 / 超越整関数 / ジュリア集合 / ファトウ集合 / 複素力学系 / 非可換多様体 / 超代数 / 非可換幾何学 / 象限確率(orthant probability) / ディリクレ形式(Dirichlet form) / 有限郡(finite group) / 楕円曲線(elliptic curve) / 2次形式(quadratic form) / 保型形式(automorphic form) / 交換子群(commutator subgroup) / ジーゲル・モジュラー群(Siegel modular group) / MordellーWeil群 / 非ガロア被覆 / 基本p拡大 / モジュラ-埋込み / テ-タ群 / N^^´ron Desingularization / ネ-タ-環 / 帰納的極限 Less
  • Research Projects

    (50 results)
  • Research Products

    (263 results)
  • Co-Researchers

    (120 People)
  •  楕円曲面及び超楕円曲線束の多重切断の幾何と平面曲線配置のトポロジーPrincipal Investigator

    • Principal Investigator
      徳永 浩雄
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tokyo Metropolitan University
  •  Discrete structures related to hyperplane arrangements, generalization, deepening, and applications

    • Principal Investigator
      吉永 正彦
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      The University of Osaka
  •  Elliptic surfaces, branched covers and the topology of plane curve arrangementsPrincipal Investigator

    • Principal Investigator
      Tokunaga Hiroo
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tokyo Metropolitan University
  •  Explicit study of hyperplane arrangements and related stratified spaces via discrete structures

    • Principal Investigator
      Yoshinaga Masahiko
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Osaka University
      Hokkaido University
  •  Elliptic surfaces and the topology of plane curvesPrincipal Investigator

    • Principal Investigator
      Tokunaga Hiroo
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Comprehensive research of Galois embedding of algebraic variety

    • Principal Investigator
      Yoshihara Hisao
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Development and application of Galois point theory of projective varieties

    • Principal Investigator
      MIURA Kei
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ube National College of Technology
  •  Arithmetic and the Abel Jacobi map on elliptic surfaces and their applicationsPrincipal Investigator

    • Principal Investigator
      TOKUNAGA HIROO
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Arrangements of hyperplanes and conics via real structures

    • Principal Investigator
      YOSHINAGA Masahiko
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Studies of fibred complex surfaces from diversified perspectives

    • Principal Investigator
      Konno Kazuhiro
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Study on Glois embedding of surface of non-general type

    • Principal Investigator
      Yoshihara Hisao
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Data Mining Methods Based on Closed Sets for Data Which Are Combination of Discrete and Continuous Attributes

    • Principal Investigator
      YAMAMOTO Akihiro
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Intelligent informatics
    • Research Institution
      Kyoto University
  •  Branched covers and topology of open algebraic surfacesPrincipal Investigator

    • Principal Investigator
      TOKUNAGA Hiroo
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Exploitation of new relations between differential geometry and quantum cohomology in the context of integrable systems

    • Principal Investigator
      GUEST Martin
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Waseda University
      Tokyo Metropolitan University
  •  Arithmetic and Moduli Spaces around Galois-Teichmueller tower

    • Principal Investigator
      NAKAMURA Hiroaki
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
      Okayama University
  •  Study on the various structures of algebraic surfaces by Galois embeddings

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Research on the geometry of the projective hypersutfaces and plane curves

    • Principal Investigator
      OKA Mutsuo
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Science
  •  Knowledge Discovery from Structured Data with Efficient Methods of Searching Lower Sets Based on Frequency

    • Principal Investigator
      YAMAMOTO Akihiro
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Intelligent informatics
    • Research Institution
      Kyoto University
  •  Geometry of Moduli Spaces and its Application to Infinite Analysis

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
      Yokkaichi University
      Kyoto University
  •  Study on the Galois embeddings of K3 surfaces

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Branched covers and Zariski pairsPrincipal Investigator

    • Principal Investigator
      TOKUNAGA Hiroo
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Research on quantum cohomology, Frobenius manifolds, and harmonic maps related to integrable systems

    • Principal Investigator
      MARTIN Guest
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  Explicit Study of Algebraic Varieties

    • Principal Investigator
      SHIMADA Ichiro
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Hyperplane arrangements and their applications

    • Principal Investigator
      TERAO Hiroaki
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
      Tokyo Metropolitan University
  •  Study on Galois embeddings of algebraic surfaces

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  代数幾何学に現れるプロシージャの計算論的学習理論の側面Principal Investigator

    • Principal Investigator
      徳永 浩雄
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      Tokyo Metropolitan University
  •  ブール環を用いた代数的手法による帰納論理の基礎理論

    • Principal Investigator
      山本 章博
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Intelligent informatics
    • Research Institution
      Kyoto University
  •  Various aspects of pencils of algebraic curves

    • Principal Investigator
      KONNO Kazuhiro
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Development of a system for number theory by script language and related research on algorithmic number theory

    • Principal Investigator
      NAKAMURA Ken
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Hypersurface singularity theory from fundamental group

    • Principal Investigator
      OKA Mutsuo
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Science
      Tokyo Metropolitan University
  •  Research on space curve and its Galois line

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Geometry of branched Galois covers and number theoryPrincipal Investigator

    • Principal Investigator
      TOKUNAGA Hiroo
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Research on arrangements of hyperplane

    • Principal Investigator
      THRAO Hiroaki
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Arithmetic of Cubic Fields and Elliptic Curves associated to them

    • Principal Investigator
      MIYAKE Katsuya
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Fundamental groups of algebraic varieties

    • Principal Investigator
      SHIMADA Ichiro
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Research on the structures of hypersurfaces and their function fields

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      NIIGATA UNIVERSITY
  •  Comprehensive Study of Stable Bundles on Calabi-Yau Manifolds

    • Principal Investigator
      NAKASHIMA Tohru
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Research on arrangements of hyperplanes

    • Principal Investigator
      TERAO Hiroaki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan Univ.
  •  Integrated study on problems related to branched Galois coversPrincipal Investigator

    • Principal Investigator
      TOKUNAGA Hiroo
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
      Kochi University
  •  Degree of irrationalities of algebraic surfaces with Kodaira dimension zero

    • Principal Investigator
      YOSHIHARA Hisao
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      NIIGATA UNIVERSITY
  •  函数体上の代数曲線の数論と分岐被覆Principal Investigator

    • Principal Investigator
      徳永 浩雄
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kochi University
  •  Study of Singularity Theory From Fundamental Group

    • Principal Investigator
      OKA Mutsuo
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      TOKYO METOROPOLITAN UNIVERSITY
  •  超弦理論と非可換代数幾何学の関係の研究

    • Principal Investigator
      TSUCHIMOTO Yoshifumi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kochi University
  •  複素力学系の位相的研究

    • Principal Investigator
      諸澤 俊介
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kochi University
  •  代数多様体の分岐被覆とその応用Principal Investigator

    • Principal Investigator
      徳永 浩雄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kochi University
  •  代数多様体の分岐被覆Principal Investigator

    • Principal Investigator
      徳永 浩雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kochi University
  •  数論と分岐被覆、そしてCalabi-Yan多様体Principal Investigator

    • Principal Investigator
      徳永 浩雄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kochi University
  •  数論的手法を用いた分岐被覆の研究Principal Investigator

    • Principal Investigator
      徳永 浩雄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kochi University
  •  数論的離散群の研究とその応用

    • Principal Investigator
      長沼 英久
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kochi University
  •  自由直和因子を持つ加群の特徴付けとそのホモロジ-予想への応用

    • Principal Investigator
      OGOMA Tetsushi
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kochi University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2012 2011 2010 2009 2008 2007 2006 2005 2004 2002 Other

All Journal Article Presentation

  • [Journal Article] Poncelet’s closure theorem and the embedded topology of conic-line arrangements2024

    • Author(s)
      Bannai Shinzo、Masuya Ryosuke、Shirane Taketo、Tokunaga Hiro-o、Yorisaki Emiko
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: 68 Issue: 1 Pages: 109-123

    • DOI

      10.4153/s0008439524000481

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23H00081, KAKENHI-PROJECT-20K03561, KAKENHI-PROJECT-21K03182, KAKENHI-PROJECT-23K03042, KAKENHI-PROJECT-24K06673
  • [Journal Article] Torsion divisors of plane curves with maximal flexes and Zariski pairs2023

    • Author(s)
      E. Artal Bartolo, S. Bannai, T. Shirane and H. Tokunaga
    • Journal Title

      Mathematische Nachrichten

      Volume: 電子版 Issue: 6 Pages: 1-22

    • DOI

      10.1002/mana.202000319

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Journal Article] Ramified and Split models of elliptic surfaces and bitangent lines of quartic curves2023

    • Author(s)
      S. Bannai, H. Tokunaga and E. Yorisaki
    • Journal Title

      Commentarii Mathematici Universitatis Sancti Pauli

      Volume: 71 Pages: 51-69

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23H00081
  • [Journal Article] Ramified and Split models of elliptic surfaces and bitangent lines of quartic curves2023

    • Author(s)
      S. Bannai, H. Tokunaga and E. Yorisaki
    • Journal Title

      Commentarii Mathematici Universitatis Sancti Pauli

      Volume: 71 Pages: 51-69

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Journal Article] Representations of Divisors on Hyperelliptic Curves and Plane Curves with Quasi-toric Relations2022

    • Author(s)
      A. Takahashi and H. Tokunaga
    • Journal Title

      Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi

      Volume: 70 Pages: 11-27

    • DOI

      10.14992/00022409

    • URL

      http://id.nii.ac.jp/1062/00022409/

    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Journal Article] An explicit construction for n-contact curves to a smooth cubic via divisions of polynomials and Zariski tuple2022

    • Author(s)
      A. Takahashi and H. Tokunaga
    • Journal Title

      Hokkaido Math. J.

      Volume: 51 Issue: 3 Pages: 389-405

    • DOI

      10.14492/hokmj/2020-391

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Journal Article] Trisections on certain rational elliptic surfaces and families of Zariski pairs degenerating to the same conic-line arrangement2022

    • Author(s)
      Bannai S.、Kawana N.、Masuya R.、Tokunaga H.
    • Journal Title

      Geometriae Dedicata

      Volume: 216 Issue: 1

    • DOI

      10.1007/s10711-021-00672-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05205, KAKENHI-PROJECT-18K03263, KAKENHI-PROJECT-20K03561
  • [Journal Article] Elliptic surfaces of rank one and the topology of cubic-line arrangements2021

    • Author(s)
      S. Bannai and H. Tokunaga
    • Journal Title

      J. Number Theory

      Volume: 221 Pages: 174-189

    • DOI

      10.1016/j.jnt.2020.06.005

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05205, KAKENHI-PROJECT-18K03263
  • [Journal Article] Representations of divisors on hyperelliptic curves, and plane curves with quasi-toric relations2021

    • Author(s)
      Takahashi, A. and Tokunaga, H.
    • Journal Title

      Commentarii Mathematici Universitatis Sancti Pauli

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Journal Article] Zariski N-ples for a smooth cubic and its tangent lines2020

    • Author(s)
      S. Bannai and H. Tokunaga
    • Journal Title

      Proc. Japan Acad. Ser. A Math. Sci.

      Volume: 96 Issue: 2 Pages: 18-21

    • DOI

      10.3792/pjaa.96.004

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05205, KAKENHI-PROJECT-18K03263
  • [Journal Article] Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements2020

    • Author(s)
      S. Bannai, H. Tokunaga and M. Yamamoto
    • Journal Title

      Hokkaido Math. J.

      Volume: 49 Issue: 1

    • DOI

      10.14492/hokmj/1591085013

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Journal Article] A note on the topology of arrangements for a smooth plane quartic and its bitangent lines2019

    • Author(s)
      S.Bannai, H, Tokunaga and M.Yamamoto
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 49 Issue: 2

    • DOI

      10.32917/hmj/1564106549

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Journal Article] Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements2019

    • Author(s)
      S. Bannai, H. Tokunaga and M. Yamamoto
    • Journal Title

      Hokkaido Math. J.

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Journal Article] A note on the topology of arrangements for a smooth plane quartic and its bitangent lines2019

    • Author(s)
      S. Bannai, H. Tokunaga and M. Yamamoto
    • Journal Title

      Hokkaido Math. J.

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Journal Article] Elliptic surfaces and contact conics for a 3-nodal quartic.2018

    • Author(s)
      K. Tumenbayar and H. Tokunaga
    • Journal Title

      Hokkaido Math. J.

      Volume: 47

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Journal Article] Elliptic surfaces and contact conics for a 3-nodal quartic2018

    • Author(s)
      Khulan Tumenbayar and Hiro-o Tokunaga
    • Journal Title

      Hokkaido Math. J.

      Volume: 47 Issue: 1 Pages: 223-244

    • DOI

      10.14492/hokmj/1520928068

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Journal Article] On the toplogy of arrangements of a cubic and its inflectional tangents2017

    • Author(s)
      Shinzo Bannai, Benoit Guerville-Balle, Taketo Shirane and Hiro-o Tokunaga
    • Journal Title

      Pro. Japa Acad. Ser. A Math. Sci.

      Volume: 93 Pages: 50-53

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Journal Article] Geometry of bisections of elliptic surfaces and Zarisiki N-plets II2017

    • Author(s)
      Shinzo Bannai and Hiro-o Tokunaga
    • Journal Title

      Topology Appl.

      Volume: 231 Pages: 10-25

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Journal Article] Elliptic surfaces and contact conics for a 3-nodal quartic2017

    • Author(s)
      Hiro-o Tokunaga and K. Tumenbayar
    • Journal Title

      Hokkaido Math. J.

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Journal Article] On the topology of arrangements of a cubic and its inflectional tangents2017

    • Author(s)
      S.Bannai, B.Guerville - Balle, T.Shirane and H.Tokunaga
    • Journal Title

      Proc. Japan Acad. Ser. A Math. Sci.

      Volume: 93 Pages: 50-53

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Journal Article] Elliptic surfaces and contact conics for a 3-nodal quartic2017

    • Author(s)
      K. Tumenbayar and H. Tokunaga
    • Journal Title

      Hokkaido Math. J.

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Journal Article] Geometry of bisections of elliptic surfaces and Zariski $N$-plets II2017

    • Author(s)
      S.Bannai and H.Tokunaga
    • Journal Title

      Topology and its Applications

      Volume: 231 Pages: 10-25

    • DOI

      10.1016/j.topol.2017.09.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Journal Article] Elliptic surfaces and contact conics for a 3-nodal quartic2017

    • Author(s)
      K. Tumenbayar and H. Tokunaga
    • Journal Title

      Hokkaido Math. J.

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Journal Article] Elliptic surfaces and contact conics for a 3-nodal quartic2016

    • Author(s)
      Khulan Tumenbayar and Hiro-o Tokunaga
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Journal Article] Integral section of elliptic surfaces and degenerated (2,3) torus decompositions of a 3-cuspidal quartic2015

    • Author(s)
      H. Tokunaga and K. Tumenbayar
    • Journal Title

      SUT J. of Math.

      Volume: 51

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540036
  • [Journal Article] Geometry of bisections of elliptic surfaces and Zariski N-plets for conic arrangements2015

    • Author(s)
      Shinzo Bannai and Hiro-o Tokunaga
    • Journal Title

      Geometria Dedicata

      Volume: 未定 Issue: 1 Pages: 219-237

    • DOI

      10.1007/s10711-015-0054-z

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25610007, KAKENHI-PROJECT-24244002
  • [Journal Article] Integral section of elliptic surfaces and degenerated $(2, 3)$ torus decompositions of a $3$-cuspidal quartic2015

    • Author(s)
      Khulan Tumenbayar and Hiro-o Tokunaga
    • Journal Title

      SUT Journal of Mathematics

      Volume: 51 Pages: 215-226

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Journal Article] Geometry of bisections of elliptic surfaces and Zariski N-plets for conic arrangements2015

    • Author(s)
      S. Bannai and H. Tokunaga
    • Journal Title

      Geom. Decicata

      Volume: 178

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Journal Article] Integral section of elliptic surfaces and degenerated $(2, 3)$ torus decompositions of a $3$-cuspidal quartic2015

    • Author(s)
      Hiro-o Tokunaga and K. Tumenbayar
    • Journal Title

      SUT J. of Math.

      Volume: 51 Pages: 215-226

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Journal Article] Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers2014

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 66 Issue: 2 Pages: 613-640

    • DOI

      10.2969/jmsj/06620613

    • NAID

      130003394372

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-24244002, KAKENHI-PROJECT-25610007
  • [Journal Article] Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers2014

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      J. Math. Soc. Japan

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Journal Article] Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers2014

    • Author(s)
      徳永浩雄
    • Journal Title

      Journal of Mathemataical Society of Japan

      Volume: 66

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Journal Article] Some sections on rational elliptic surfaces and certain special conic-quartic configurations2012

    • Author(s)
      Tokunaga, H
    • Journal Title

      Kodai Math. J

      Volume: 35 Pages: 78-104

    • Data Source
      KAKENHI-PROJECT-20540094
  • [Journal Article] A note on quadratic residue curves on rational ruled surfaces2012

    • Author(s)
      Hiroo Tokunaga
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 63 Pages: 565-577

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Journal Article] Some sections on rational elliptic surfaces and certain special conic-quartic configurations2012

    • Author(s)
      H.Tokunaga
    • Journal Title

      Kodai Mathematical Journal

      Volume: 35 Issue: 1 Pages: 78-104

    • DOI

      10.2996/kmj/1333027255

    • NAID

      130004496159

    • ISSN
      0386-5991, 1881-5472
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244004, KAKENHI-PROJECT-22540052
  • [Journal Article] Some sections onrational elliptic surfaces and certain special conic-quartic configurations2012

    • Author(s)
      H. Tokunaga
    • Journal Title

      Kodai Math. Journal

      Volume: vol.35 Pages: 78-104

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540033
  • [Journal Article] Some sections on rational elliptic surfaces and certain special conic-quartic configurations2012

    • Author(s)
      H. Tokunaga
    • Journal Title

      Kodai Math. J

      Volume: 35 Pages: 78-104

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Journal Article] A note on quadratic residue curves on rational ruledsurfaces2012

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 63 Pages: 565-577

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Journal Article] A note on quadratic residue curves on rational ruled surfaces2012

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 63 Pages: 565-577

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Journal Article] On local trigonal fibrations2012

    • Author(s)
      M. Ishizaka, H. Tokunaga
    • Journal Title

      Proc. Amer. Math. Soc

      Volume: 140 Pages: 3677-3686

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Journal Article] Some sections on rational elliptic surfaces and certain special conic-quartic configurations2012

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      Kodai Math. J.

      Volume: 35 Pages: 78-104

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Journal Article] Inferability of Unbounded Unions of Certain Closed Set Systems2011

    • Author(s)
      Yuichi Kameda, Hiro-o Tokunaga
    • Journal Title

      Lecture Note in Artificial Intelligence

      Volume: 6284 Pages: 317-330

    • Data Source
      KAKENHI-PROJECT-22240010
  • [Journal Article] Geometry of irreducible plane quartics and theirquadratic residue conics2010

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      Journal ofSingularities(electric)

      Volume: vol 2 Pages: 170-190

    • DOI

      10.5427/jsing.2010.2k

    • URL

      http://www.journalofsing.org/volume2/article11.html

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Journal Article] Geometry of irreducible plane quartics and their quadratic residue conics2010

    • Author(s)
      Hiroo Tokunaga
    • Journal Title

      Journal of Singularities(electric)

      Volume: 2 Pages: 170-190

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Journal Article] Geometry of irreducible plane quartic and their quadratic residue conics2010

    • Author(s)
      H. Tokunaga
    • Journal Title

      J. Singularities

      Volume: vol.2 Pages: 170-190

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540033
  • [Journal Article] Geometry of irreducible plane quartics and their quadratic residue conics2010

    • Author(s)
      Tokunaga, H.
    • Journal Title

      J. Singularity

      Volume: vol.2 Pages: 170-190

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Geometry of irreducible plane quartics and their quadratic residue conics2010

    • Author(s)
      Tokunaga, H
    • Journal Title

      J. of Singularities

      Volume: 2 Pages: 170-109

    • Data Source
      KAKENHI-PROJECT-20540094
  • [Journal Article] Geometry of. irreducible plane quartics and their quadratic residue conics2010

    • Author(s)
      Tokunaga, H.
    • Journal Title

      Journal of Singularity

      Volume: 2 Pages: 170-190

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340007
  • [Journal Article] Geometry of irreducible plane quartics and their quadratic residue conics2010

    • Author(s)
      H.Tokunaga
    • Journal Title

      J.of Singularities

      Volume: 2 Pages: 170-190

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009

    • Author(s)
      Hirotaka Ishida, Hiro-o Tokunaga
    • Journal Title

      Advanced Studies in Pure Math. 56

      Pages: 169-185

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] Non-Galois triple coverings of${\mathbb P}^2$ branched along quintic curves and their cubic equations2009

    • Author(s)
      T. Yasumura and Tokunaga, H
    • Journal Title

      Nihonkai J. of Math

      Volume: 20 Pages: 109-126

    • Data Source
      KAKENHI-PROJECT-20540094
  • [Journal Article] Non-Galois triple coverings of ${¥mathbb P}^2$ branched along quintic curves and their cubic equations2009

    • Author(s)
      H.Tokunaga, T.Yasumura
    • Journal Title

      Nihonkai J.of Math.

      Volume: 20 Pages: 109-126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009

    • Author(s)
      T. Ishida and H. Tokunaga
    • Journal Title

      Advanced Studies in Pure Math

      Volume: vol.56 Pages: 169-185

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540033
  • [Journal Article] Non-Galois triple covering of P^2 branched along quintic curves and their cubic equations2009

    • Author(s)
      Ysumura, T., Tokunaga, H.
    • Journal Title

      Nihonkai J.of Math. 20

      Pages: 109-126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540094
  • [Journal Article] Non-Galois triple covering of P^2 branched along quintic curves and their cubic equations2009

    • Author(s)
      Tadasuke Yasumura, Hiro-o Tokunaga
    • Journal Title

      Nihonkai Journal of Mathematics 20

      Pages: 109-126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] Non-Galois triple coverings of P^2 branched along quintic curves and their cubic equations2009

    • Author(s)
      H. Tokunaga and T. Yasumura
    • Journal Title

      Nihonkai J. Math

      Volume: vol.20 Pages: 109-126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540033
  • [Journal Article] Triple covers of algebraic sufaces and a generalization of Zariski's example2009

    • Author(s)
      H.Tokunaga, H.Ishida
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 56 Pages: 169-185

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Journal Article] Non-Galois triple covering of P2 branched along quintic curves and their cubic equations2009

    • Author(s)
      Tadasuke Yasumura, Hiro-o Tokunaga
    • Journal Title

      Nihonkai J. of Math. 20

      Pages: 109-126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] 代数学・数学基礎論における機械学習2009

    • Author(s)
      デ・ブレクトマシュー, 徳永浩雄, 山本章博
    • Journal Title

      人工知能学会誌 24

      Pages: 788-796

    • Data Source
      KAKENHI-PROJECT-19300046
  • [Journal Article] 代数学・数学基礎論における機械学習2009

    • Author(s)
      デ・ブレクト マシュー, 徳永浩雄, 山本章博
    • Journal Title

      人工知能学会誌 24

      Pages: 788-796

    • Data Source
      KAKENHI-PROJECT-19300046
  • [Journal Article] Computing Characteristic Sets of Bounded Unions of Polynomial Ideals2008

    • Author(s)
      Itsuo Takamatsu, Masanori Kobayashi, Hiroo Tokunaga and
    • Journal Title

      Lecture Notes in Artificial Intelligence 4914

      Pages: 318-329

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300046
  • [Journal Article] A survey on Zariski pairs2008

    • Author(s)
      E.A.Bartolo, J.Cogoludo, H.Tokunaga
    • Journal Title

      Adv. Stud. Pure Math. Math. Soc. Japan, Tokyo 50

      Pages: 1-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] A survey on Zariski pairs2008

    • Author(s)
      E. Artal Bartolo, J.-I. Cogolludo and H. Tokunaga
    • Journal Title

      Advanced Studies in Pure Mathematics 50

      Pages: 1-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] Pencils and infinite dihedral covers of P2.2008

    • Author(s)
      H.Tokunaga, E.A.Bartolo, J.Cogoludo
    • Journal Title

      Proc. Amer. Math. Soc. 136

      Pages: 21-29

    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Pencils and infinite dihedral covers of P^22008

    • Author(s)
      E. Artal Bartolo, J.-I. Cogolludo and H. Tokunaga
    • Journal Title

      Proc. Amer. Math. Soc vol.136

      Pages: 21-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540016
  • [Journal Article] Pencils and infinite dihedral covers of P22008

    • Author(s)
      E. Artal Bartolo, J.-I. Cogolludo, Hiro-o Tokunaga
    • Journal Title

      Proc. Amer. Math. Soc. 136

      Pages: 21-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] Computing Characteristic Sets of Bounded Unions of Polynomial Ideals2008

    • Author(s)
      Itsuo Takamatsu, Masanori Kobayashi, Hiroo Tokunaga, Akihiro Yamamoto
    • Journal Title

      Lecture Notes in Artificial Intelligence 4914

      Pages: 318-32

    • Data Source
      KAKENHI-PROJECT-19300046
  • [Journal Article] Pencils and infinite dihedral covers of P22008

    • Author(s)
      H. Tokunaga, E. A. Bartolo, J. Cogoludo
    • Journal Title

      Proc. Amer. Math. Soc. 136

      Pages: 21-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Asurvey on Zariski pairs2008

    • Author(s)
      E. Artal Bartolo, J.-I. Cogolludo, Hiro-o Tokunaga
    • Journal Title

      Advanced Studies in Pure Math. 50

      Pages: 1-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] Asurvey on Zariski pairs2008

    • Author(s)
      E. Artal Bartolo, J.-I. Cogolludo and H. Tokunaga
    • Journal Title

      Advanced Studies in Pure Math vol.50

      Pages: 1-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540016
  • [Journal Article] A survey on Zariski pairs2008

    • Author(s)
      E. A. Bartolo, H. Tokunaga, et al
    • Journal Title

      Adv. Stud. Pure Math. 50

      Pages: 1-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Pencils and infinite dihedral covers of P22008

    • Author(s)
      H. Tokunaga, E. Artal Bartolo, J. Cogoludo
    • Journal Title

      Proc. Amer. Math. Soc. 136

      Pages: 21-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Learning bounded unions of Noetherian closed set systems via characteristic sets2008

    • Author(s)
      Yuuichi Kameda, Hiroo Tokunaga, Akihiro Yamamoto
    • Journal Title

      Lecture Notes in Artificial Intelligence 5278

      Pages: 98-110

    • NAID

      40016137267

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19300046
  • [Journal Article] Inferability of Closed Set Systems From Positive Data, New Fromtiers in Artificial Intelligence2007

    • Author(s)
      Tokunaga, H, et. al.
    • Journal Title

      Lecture Notes in Artificial Intelligence 4384

      Pages: 265-275

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] A note on embeddings of $S\sb 4$ and $A\sb 5$ into the two-dimensional Cremona group and versal Galois covers2007

    • Author(s)
      S.Bannai, H.Tokunaga
    • Journal Title

      Publ. Res. Inst. Math. Sci. 43

      Pages: 1111-1123

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Inferability of Closed Set Systems From Positive Data2007

    • Author(s)
      de Brecht, M., Kobayashi, M., Tokunaga, H., Yamamoto, A.
    • Journal Title

      Lecture Notes in Computer Science 4384

      Pages: 265-275

    • Data Source
      KAKENHI-PROJECT-16650027
  • [Journal Article] A Note on Embeddings of S4 and A5 into the Two dimensional Cremona Group and Versal Galois Covers2007

    • Author(s)
      Shinzo BANNAI and Hiro-o TOKUNAGA
    • Journal Title

      Publications of Research Institute for Mathematical Sciences 43

      Pages: 1111-1123

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] Inferability of Closed Set Systems From Positive Data2007

    • Author(s)
      M.de Brecht, M.Kobayashi, H.Tokunaga, A.Yamamoto
    • Journal Title

      New Fromtiers in Artificial Intelligence (Lecture Notes in Artificial Intelligence) 4384

      Pages: 265-275

    • Data Source
      KAKENHI-PROJECT-16650002
  • [Journal Article] A note on embeddings of S4 and A5 into the two-dimensional Cremona group and versal Galois covers2007

    • Author(s)
      Shinzo Bannai, Hiro-o Tokunaga
    • Journal Title

      Publ. Inst. Math. Sci. 43

      Pages: 1111-1123

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] Inferability of Closed Set Systems From Positive Data, New Fromtiers in Artificial Intelligence2007

    • Author(s)
      Tokunaga, H. et al.
    • Journal Title

      Lecture Notes in Artificial Intelligence 4384

      Pages: 265-275

    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Inferability of Closed Set Systems From Positive Data,New Fromtiers in Artificial Intelligence2007

    • Author(s)
      Tokunaga, H., et. al.
    • Journal Title

      Lecture Notes in Artificial Intelligence 4384

      Pages: 265-275

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] 人工知能における計算論的学習理論とNoether環2007

    • Author(s)
      徳永浩雄, 山本章博, 小林正典
    • Journal Title

      数学(日本数学会) (印刷中)

    • NAID

      130004558842

    • Data Source
      KAKENHI-PROJECT-16650002
  • [Journal Article] A note on embeddings of S_4 and A_5 into the two-dimensional Cremona group and versal Galois covers2007

    • Author(s)
      S. Bannai and H. Tokunaga
    • Journal Title

      Publ. Res. Inst. Math. Sci vol.43

      Pages: 1111-1123

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540016
  • [Journal Article] 多項式環におけるイデアルのN個以下の集合和の特徴例集合2006

    • Author(s)
      高松逸朗, 小林正典, 徳永浩雄, 山本章博
    • Journal Title

      人工知能学会研究会資料 SIG-FPAI-A601 SIG-FPAI-A601

      Pages: 111-116

    • Data Source
      KAKENHI-PROJECT-16650002
  • [Journal Article] Nodal degenerations of plane curves and Galois covers2006

    • Author(s)
      E.A.Bartolo, J.Cogoludo, H.Tokunaga
    • Journal Title

      Geom. Dedicata 121

      Pages: 129-142

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Two-dimensional versal G-covers and Cremona embeddings of finite groups2006

    • Author(s)
      H.Tokunaga
    • Journal Title

      Kyushu J.Math 60

      Pages: 439-456

    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Two-dimensional versal $G$-covers and Cremona embeddings of finite groups.2006

    • Author(s)
      H.Tokunaga
    • Journal Title

      Kyushu J. Math. 60

      Pages: 439-456

    • Data Source
      KAKENHI-PROJECT-17340011
  • [Journal Article] 2-dimensional versal G-covers and Cremona embeddings of finite groups2006

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      Kyushu J. of Math. 60

      Pages: 439-456

    • Data Source
      KAKENHI-PROJECT-16340008
  • [Journal Article] 2-dimensional versal G-covers and Cremona embeddings of finite groups2006

    • Author(s)
      Hiroo Tokunaga
    • Journal Title

      Kyushuu J. Math. 60

      Pages: 97-107

    • Data Source
      KAKENHI-PROJECT-16340019
  • [Journal Article] ニュートン図形の極限同定と複素超曲面の特異点解消2005

    • Author(s)
      小林正典, 徳永浩雄, 山本章博
    • Journal Title

      人工知能学会人工知能基本問題研究会(第58回)資料 SIG-FPAI-A403

      Pages: 5-9

    • Data Source
      KAKENHI-PROJECT-16650027
  • [Journal Article] 2-dimensional versal S_4 covers and rational elliptic surfaces2005

    • Author(s)
      Hiro-o TOKUNAGA
    • Journal Title

      Semin.Congr.Soc.Math.France 10

      Pages: 307-322

    • Data Source
      KAKENHI-PROJECT-16340008
  • [Journal Article] 多項式環のイデアルと正データからの学習2005

    • Author(s)
      小林正典, 徳永浩雄, 山本 章博
    • Journal Title

      第8回情報論的学習理論ワークショップ予稿集

      Pages: 129-134

    • Data Source
      KAKENHI-PROJECT-16650027
  • [Journal Article] 多項式環のイデアルと正データからの学習2005

    • Author(s)
      小林正典, 徳永浩雄, 山本章博
    • Journal Title

      第8回情報論的学習理論ワークショップ予稿集

      Pages: 129-134

    • Data Source
      KAKENHI-PROJECT-16650002
  • [Journal Article] ニュートン図形の極限同定と複素超曲面の特異点解消.2005

    • Author(s)
      小林正典, 徳永浩雄, 山本章博
    • Journal Title

      人工知能基本問題研究会資料SIG-FPAI-A403(2005)

    • Data Source
      KAKENHI-PROJECT-17340011
  • [Journal Article] ニュートン図形の極限同定と複素超曲面の特異点解消2005

    • Author(s)
      小林正典, 徳永浩雄, 山本章博
    • Journal Title

      人工知能基本問題研究会予稿集 SIG-FPAI-A403

      Pages: 5-9

    • Data Source
      KAKENHI-PROJECT-16650002
  • [Journal Article] $2$-dimensional versal $S_4$-covers and rational elliptic surfaces2005

    • Author(s)
      H.Tokunaga
    • Journal Title

      Seminaire et Congres (Societe Mathematique de France) 10

      Pages: 307-322

    • Data Source
      KAKENHI-PROJECT-17340011
  • [Journal Article] Dihedral covers and an elementary arithmetic on elliptic surfaces2004

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      J.Math.Kyoto Univ. 44

      Pages: 255-270

    • Data Source
      KAKENHI-PROJECT-16340008
  • [Journal Article] Zariski x-plets of rational curve arrangements and dihedral covers2004

    • Author(s)
      H, Tokunaga
    • Journal Title

      Topolofy Appl. 142

      Pages: 227-233

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Dihedral covers and an elemetary arithmetic on elliptic2004

    • Author(s)
      H.Tokunaga
    • Journal Title

      J.Math.Kyoto Univ. 44

      Pages: 255-270

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Dihedral covers and an elemetary arithmetic on elliptic2004

    • Author(s)
      H, Tokunaga
    • Journal Title

      J. Math. Kyoto Univ. 44

      Pages: 255-270

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Dihedral covers and an elementary arithmetic on elliptic surfaces2004

    • Author(s)
      Hiroo Tokunaga
    • Journal Title

      J.Math.Kyoto Univ. 44

      Pages: 255-270

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Zariski κ-plets of rational curve arrangements and dihedral covers2004

    • Author(s)
      H.Tokunaga
    • Journal Title

      Topology Appl. 142

      Pages: 227-233

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Dihedral covers and an elementary arithmetic on elliptic surfaces J. Math2004

    • Author(s)
      Tokunaga, Hiroo
    • Journal Title

      Kyoto Univ. 44

      Pages: 255-270

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Zariski k-plets of rational curve arrangements and dihedral covers (with E. Artal Bartolo)2004

    • Author(s)
      Hiroo Tokunaga
    • Journal Title

      Topology Appl. 142

      Pages: 227-233

    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Zariski k-plets of rational curve arrangements and dihedral covers (with E. Artal Bartolo)2004

    • Author(s)
      Tokunaga, Hiroo
    • Journal Title

      Topology Appl. 142(To appear)

      Pages: 227-233

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Miranda Persson's problem on extremal elliptic K3 surfaces (with E.Artal Bartolo and D.-Q.Zhang)2002

    • Author(s)
      Hiroo Tokunaga
    • Journal Title

      Pacific J. of Math. 202

      Pages: 37-72

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Miranda-Persson's problem on extremal elliptic K3 surfaces (with E. Artal Bartolo and D.-Q. Zhang).2002

    • Author(s)
      Tokunaga, Hiroo
    • Journal Title

      Pacific J. of Math. 202

      Pages: 37-72

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Note on a $2$-dimensional versal $D_8$-cover.

    • Author(s)
      H.Tokunaga
    • Journal Title

      Osaka Math.J. (印刷中)

    • Data Source
      KAKENHI-PROJECT-14340018
  • [Journal Article] $2$-dimensional versal $S_4$-covers and rational elliptic surfaces.

    • Author(s)
      H.Tokunaga
    • Journal Title

      Seminaire et Congres, Society Mathematique de France 印刷中

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340018
  • [Journal Article] $2$-dimensional versal $S_4$-covers and rational elliptic surfaces.

    • Author(s)
      H.Tokunaga
    • Journal Title

      Seminaire et Congres, Societe Mathematique de France (印刷中)

    • Data Source
      KAKENHI-PROJECT-14340018
  • [Journal Article] 2-dimensional versal S_4-covers and rational elliptic surfaces

    • Author(s)
      Tokunaga, Hiroo
    • Journal Title

      Seminaire et Congres, Societe Mathematique de France (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] A note on quadratic residue curves on rational ruled surfaces

    • Author(s)
      Hiroo Tokunaga
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Journal Article] Triple covers of algebraic surfaces and a a generalization of Zariski's example

    • Author(s)
      Hirotaka Ishida Hiroo Tokunaga
    • Journal Title

      Advanced studies in Pure Math. (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] 2-dimensional versal S_4-covers and rational elliptic surfaces

    • Author(s)
      Hiroo Tokunaga
    • Journal Title

      Seminaire et Congres, Societe Mathematique de France (To appear)

    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Nodal Degenerations of Plane Curves and Galois Covers (with E. Bartolo and J. Cogollundo)

    • Author(s)
      Tokunaga, Hiroo
    • Journal Title

      (Preprint)

      Pages: 16-16

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Note on a 2-dimensional versal D8-cover

    • Author(s)
      Tokunaga, Hiroo
    • Journal Title

      Osaka Math. J. (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] 2-dimensional versal S_4-covers and rational elliptic surfaces

    • Author(s)
      Hiroo Tokunaga
    • Journal Title

      Seminaire et Congres, Societe Mathematique de France To appear

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Note on a $2$-dimensional versal $D-8$-cover

    • Author(s)
      H.Tokunaga
    • Journal Title

      to appear in Osaka Math. J.

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340018
  • [Journal Article] $2$-dimensional versal $S_4$-covers and rational elliptic surfaces

    • Author(s)
      H.Tokunaga
    • Journal Title

      Seminaire et Congres, Societe Mathematique de France (to appear in)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340018
  • [Journal Article] Note on a $2$-dimensional versal $D_8$-cover.

    • Author(s)
      H.Tokunaga
    • Journal Title

      Osaka Math.J. 印刷中

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340018
  • [Presentation] The realization spaces of certain conic-line arrangements of degree 72024

    • Author(s)
      徳永浩雄
    • Organizer
      Topology and Geometry of Low-Dimensional Manifolds 2024
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] The realization spaces of certain conic-line arrangements of degree 72024

    • Author(s)
      徳永浩雄
    • Organizer
      Topology and Geometry of Low-Dimensional Manifolds 2024
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24K06673
  • [Presentation] The realization spaces of certain conic-line arrangements of degree 72024

    • Author(s)
      徳永浩雄
    • Organizer
      Topology and Geometry of Low-Dimensional Manifolds 2024
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23H00081
  • [Presentation] Representation of divisors on hyperelliptic curves and its application to geometry2023

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Workshop on Algebraic Geometry and Topology 2023 at National Univ. Mongolia.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Poncelet closure theorem and the embedded topology of conic-line arrangements,2023

    • Author(s)
      徳永浩雄
    • Organizer
      新潟代数シンポジウム, 新潟大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Arithmetic of double covers and its application to the topology of plane curves,2023

    • Author(s)
      徳永浩雄
    • Organizer
      Algebraic and topological interplay of algebraic varieties
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23H00081
  • [Presentation] Representations of divisors on hyperelliptic curves and their application to geometry2023

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Workshop Topology of Singularities and Related Topics at Quy Nhon, Vietnam
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Poncelet closure theorem and the embedded topology of conic-line arrangements2023

    • Author(s)
      徳永浩雄
    • Organizer
      新潟代数シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-23H00081
  • [Presentation] 超楕円曲線上の因子の表現と平面曲線の構成2023

    • Author(s)
      徳永浩雄
    • Organizer
      湯布院代数幾何学ワークショップ, 日本文理大学湯布院研修所
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Representation of divisors on hyperelliptic curves and its application to geometry2023

    • Author(s)
      徳永浩雄
    • Organizer
      Workshop on Algebraic Geometry and Topology 2023 at National Univ. Mongolia.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23H00081
  • [Presentation] 種数2の超楕円曲線のJacobian上の加法とGroebner基底2023

    • Author(s)
      井上 豪希(登壇者),舛谷亮祐, 徳永浩雄
    • Organizer
      日本応用数理学会第19回研究部会連合発表会, 岡山理科大学
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Arithmetic of double covers and its application to the topology of plane curves2023

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      115AM Algebraic and topological interplay of algebraic varieties, Jack(Spain)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Splitting invariants and a π1-equivlent Zariski pair of conic-line arrangements2023

    • Author(s)
      白根竹人(登壇者),M. Amram, 坂内真三,U.Shinchkin, 徳永浩雄
    • Organizer
      2023年度日本数学会年会,中央大学
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Representations of divisors on hyperelliptic curves and their application to geometry2023

    • Author(s)
      徳永浩雄
    • Organizer
      Workshop Topology of Singularities and Related Topics at Quy Nhon
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23H00081
  • [Presentation] Ramified and Split models of rational elliptic surfaces and bitangent lines for a quartic curve2023

    • Author(s)
      寄崎恵美子(登壇者), 坂内真三, 徳永浩雄
    • Organizer
      2023年度日本数学会年会,中央大学
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Multi-sections of elliptic surfaces and families of Zariski pairs2021

    • Author(s)
      H. Tokunaga
    • Organizer
      Arithmetic Algebraic Geometry and mathematical physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Multi-sections of elliptic surfaces and families of Zariski pairs2021

    • Author(s)
      H.Tokunaga
    • Organizer
      Singularities, arrangements, and low-dim. topology, JSPS-VAST Bilateral Joint Research Project Workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Multi-sections of elliptic surfaces and families of Zariki pairs2021

    • Author(s)
      H. Tokunaga
    • Organizer
      Singularities, arrangements, and low-dim. topology, JSPS-VAST Bilateral Joint Research Project Workshop. On-line
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] Representations of divisors on hyperelliptic curves and Groenber bases2021

    • Author(s)
      A. Takahashi and H. Tokunaga
    • Organizer
      日本数学会年会
    • Data Source
      KAKENHI-PROJECT-20K03561
  • [Presentation] Multi-sections of elliptic surfaces and families of Zariki pairs2021

    • Author(s)
      H.Tokunaga
    • Organizer
      Arithmetic Algebraic Geometry and mathematical physics at RIMS
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] On m-contact curves to a cubic: Mumford representations and divisions2019

    • Author(s)
      Hiroo Tokunaga
    • Organizer
      代数幾何セミナー, 高知工科大学, 永国寺キャンパス
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] On the topology of cubic-line arrangements2019

    • Author(s)
      Hiroo Tokunaga
    • Organizer
      Algebraic surfaces and related topics, 高知工科大学,永国寺キャンパス
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] On the topology of cubic-line, quartic-line arrangement2019

    • Author(s)
      Hiroo Tokunaga
    • Organizer
      Seminar Komplexe Geometrie, Ruhr Universitaet Bochum, Bochum, Germany
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] Construction of n-contact curve to a cubic and Zariski tuple2019

    • Author(s)
      Hiroo Tokunaga
    • Organizer
      Geometries in Pyrenees, Unviersite de Pau et des Pays de l'Aour
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] A remark on certain cubic-line arrangements and elliptic surfaces2018

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      On hyperplane arrangements, configuration spaces and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] Arithmetic of double covers of P^22018

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      -the topology of reducible plane curves-, A walk between hyperplane arrangements
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] 2次被覆のarithmetic と平面代数曲線のトポロジー2018

    • Author(s)
      徳永浩雄
    • Organizer
      代数学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] Topology of arrangements of plane curves with low degree and arithmetic of double covers of P22018

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      特異点論とその応用 「泉屋周一先生退職記念研究集会」
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] The topology of plane curves and arithmetic of P2,2018

    • Author(s)
      徳永浩雄
    • Organizer
      15th International Conference Zaragoza-Pau on Mathematics and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] 2次被覆の arithmetic と平面曲線のトポロジー2018

    • Author(s)
      徳永浩雄
    • Organizer
      代数学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] On the topology of plane curves and "arithmetic" of P^22018

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Seminario de Algebra, Geometria y Topologia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] Arithmetic of double covers of P^2 -the opology of reducible plane curves-2018

    • Author(s)
      徳永浩雄
    • Organizer
      A walk between hyperplane arrangements, computer algebra and algorithms, 北海道大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] A remark on certain cubic-line arrangements and elliptic surfaces2018

    • Author(s)
      徳永浩雄
    • Organizer
      On hyperplane arrangements, configuration spaces and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] The topology of plane curves and "arithmetic" of P^22018

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      15th International Conference Zaragoza-Pau on Mathematics and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] On the topology of plane curves and arithmetic of P22018

    • Author(s)
      徳永浩雄
    • Organizer
      Seminario de Algebra, Geometria y Topologia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] 楕円曲面の有理点とcubic-line arrangements2017

    • Author(s)
      徳永浩雄
    • Organizer
      射影多様体の幾何とその周辺,高知大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] Rational points of elliptic surfaces and cubic-line arrangements2017

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Seminario Geometria y Topologia, Universidad de Zaraggoza
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] On the topology of reducible plane curves2017

    • Author(s)
      徳永浩雄
    • Organizer
      Topology of Singularity in Hanoi
    • Place of Presentation
      VIASM(Hanoi)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] Rational points of elliptic surfaces and cubic-line arrangements2017

    • Author(s)
      徳永浩雄
    • Organizer
      Seimiario Geometria y Topologia, Universidad de Zaraggoza
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05205
  • [Presentation] 楕円曲面の有理点とcubic-line arrangements2017

    • Author(s)
      徳永浩雄
    • Organizer
      射影多様体の幾何とその周辺,高知大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] On the topology of reducible plane curves2017

    • Author(s)
      徳永浩雄
    • Organizer
      Topology of Singularity in Hanoi 2017
    • Place of Presentation
      VIASM, Hanoi (Vietnam)
    • Year and Date
      2017-02-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Cubic-line 配置のトポロジーについて2017

    • Author(s)
      徳永浩雄
    • Organizer
      10th Workshop on Galois point and related topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] A remark on the topology of reducible curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      Seminario de Geometria y Topologia
    • Place of Presentation
      Universidad de Zaragoza
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] A remark on the topology of reducible plane curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      第13回代数曲面ワークショップ
    • Place of Presentation
      高知工科大学
    • Year and Date
      2016-07-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] Geometry of contact conics2016

    • Author(s)
      徳永浩雄
    • Organizer
      Workshop on Hyperplane Arrangements and Singularity Theory
    • Place of Presentation
      北海道大学, 北海道札幌市
    • Year and Date
      2016-03-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] A remark on the topology of reducible plane curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      第13回代数曲面ワークショップ at 高知
    • Place of Presentation
      高知工科大学永国寺キャンパス(高知県・高知市)
    • Year and Date
      2016-07-02
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Geometry of contact conics2016

    • Author(s)
      H. Tokunaga
    • Organizer
      Workshop on Hyperplane Arrangements and Singularity Theory
    • Place of Presentation
      北海道大学 (札幌市)
    • Year and Date
      2016-03-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] On the topology of reducible plane curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      Tsuda College and OIST joint workshop on Calabi-Yau varieties
    • Place of Presentation
      津田塾大学
    • Year and Date
      2016-08-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] On the topology of reducible plane curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      Tsuda College and OIST joint workshop on Calabi-Yau varieties
    • Place of Presentation
      津田塾大学(東京都・小平市)
    • Year and Date
      2016-08-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] A remark on the topology of reducible cruves2016

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Seminario de Geometria y Topologia
    • Place of Presentation
      Universidad de Zaragoza
    • Year and Date
      2016-09-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] A remark on the topology of reducible curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      Seminario de Geometria y Topologia
    • Place of Presentation
      Universidad de Zaragoza, Zaragoza(Spain)
    • Year and Date
      2016-09-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] On the toplogy of reducible plane curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      Tsuda College and OIST joint workshop on Calabi-Yau varieties
    • Place of Presentation
      津田塾大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] A remark on the topology of reducible plane curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      第13回代数曲面ワークショップ
    • Place of Presentation
      高知工科大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] Topology of plane curves of low degree via Galois covers and rational elliptic surfaces2015

    • Author(s)
      徳永浩雄
    • Organizer
      Arrangements of plane curves and related problems
    • Place of Presentation
      首都大学東京
    • Year and Date
      2015-03-16
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Integral sections of rational elliptic surfaces and contact conics to an irreducible 3-nodal quartic2015

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Geometry, Topology and Combinatorics of Hyperplane Arrangements and Related Problems
    • Place of Presentation
      Universidad de Zaragoza (Zaragoza, Spain)
    • Year and Date
      2015-09-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] Contact conics for 3-nodal quartics and integral sections of certain rational elliptic surfaces2015

    • Author(s)
      徳永浩雄
    • Organizer
      第10回秋葉原代数曲面ワークショップ at 秋葉原
    • Place of Presentation
      首都大学東京 秋葉原サテライトキャンパス, 東京都千代田区
    • Year and Date
      2015-07-18
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Integral sections of rational elliptic surfaces and contact conics to 3-codal quartics2015

    • Author(s)
      H. Tokunaga
    • Organizer
      Various Aspects of Algebraic Geometry
    • Place of Presentation
      国際基督教大学
    • Year and Date
      2015-12-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540036
  • [Presentation] Integral sections of rational elliptic surfaces and contact conics to $3$-nodal quartics2015

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Various Aspects of Algebraic Geometry
    • Place of Presentation
      国際基督教大学
    • Year and Date
      2015-12-13
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] Elliptic curves over the rational function field and geometry of plane algebraic curves2015

    • Author(s)
      徳永浩雄
    • Organizer
      Colloquium talk
    • Place of Presentation
      Jacob's University Bremen, ブレーメン(ドイツ)
    • Year and Date
      2015-11-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Integral sections of rational elliptic surfaces and contact conics to an irreducible 3-nodal quartic2015

    • Author(s)
      H. Tokunaga
    • Organizer
      Topology and Combinatorics of Hyperplane Arrangements and Related Problems
    • Place of Presentation
      Zaragoza (Spain)
    • Year and Date
      2015-09-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04813
  • [Presentation] 楕円曲面と分岐被覆2015

    • Author(s)
      徳永浩雄
    • Organizer
      ホッジ理論と代数幾何学
    • Place of Presentation
      大阪大学
    • Year and Date
      2015-03-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Integral sections of rational elliptic surfaces and contact conics to 3-nodal quartics2015

    • Author(s)
      徳永浩雄
    • Organizer
      Various Aspects of Algebraic Geometry
    • Place of Presentation
      国際基督教大学, 東京都三鷹市
    • Year and Date
      2015-12-12
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Integral sections of rational elliptic surfaces and contact conics to an irreducible 3-nodal quartic2015

    • Author(s)
      徳永浩雄
    • Organizer
      Geometry, Topology and Combinatorics of Hyperplane Arrangements and Related Problems
    • Place of Presentation
      Unversidad de Zaragoza, サラゴサ(スペイン)
    • Year and Date
      2015-09-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] 楕円曲面のbisectionについて2015

    • Author(s)
      徳永浩雄
    • Organizer
      第2回 代数幾何学研究集会-宇部-
    • Place of Presentation
      宇部工業高等専門学校
    • Year and Date
      2015-01-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Zariski N-plets for arrangements of plane curves of low degree and rational elliptic surfaces2014

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      The 1st Workshop of JSPS-MAE Sakura Program
    • Place of Presentation
      北海道大学
    • Year and Date
      2014-09-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] Geometry of sections and bisections on rational elliptic surfaces2014

    • Author(s)
      徳永浩雄
    • Organizer
      Tsuda College Workshop on Calabi-Yau Varieties: Arithmetic, Geometry and Physics
    • Place of Presentation
      津田塾大学
    • Year and Date
      2014-08-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Conic-line, conic arrangements and rational elliptic surfaces2014

    • Author(s)
      徳永浩雄
    • Organizer
      Seminar Komplexe Geometrie
    • Place of Presentation
      Ruhr Universitaet Bochum
    • Year and Date
      2014-09-19
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] 有理楕円曲面上のsection及びbisectionの幾何2014

    • Author(s)
      徳永浩雄
    • Organizer
      函館数論幾何ワークショップ
    • Place of Presentation
      函館中央図書館
    • Year and Date
      2014-05-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Zariski N-plets for arrangements of plane curves of low degree and rational elliptic surfaces2014

    • Author(s)
      徳永浩雄
    • Organizer
      The 1st Workshop of JSPS-MAE Sakura Program
    • Place of Presentation
      北海道大学
    • Year and Date
      2014-09-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] 有理楕円曲面上のsection及びbisectionの幾何2014

    • Author(s)
      徳永浩雄
    • Organizer
      函館数論幾何ワークショップ
    • Place of Presentation
      函館中央図書館
    • Year and Date
      2014-05-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] 楕円曲面上の演算を利用した平面曲線の構成とその応用2012

    • Author(s)
      徳永浩雄
    • Organizer
      特異点と多様体の幾何学
    • Place of Presentation
      山形大学
    • Year and Date
      2012-08-27
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Geometry of sections of elliptic surfaces and its application2012

    • Author(s)
      徳永浩雄
    • Organizer
      Topology of singularities and Related Topics III
    • Place of Presentation
      University of Dalat, Dalat(ベトナム)
    • Year and Date
      2012-03-30
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] 楕円曲面の群構造を利用した平面曲線の構成とその応用について2012

    • Author(s)
      徳永浩雄
    • Organizer
      代数幾何とその周辺
    • Place of Presentation
      北海道大学
    • Year and Date
      2012-08-06
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Geometry of sections of elliptic surfaces and its application2012

    • Author(s)
      徳永浩雄
    • Organizer
      Topology of singularities and Related Topics III
    • Place of Presentation
      University of Dalat
    • Year and Date
      2012-03-30
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] 楕円曲面上の演算を利用した平面曲線の構成とその応用2012

    • Author(s)
      徳永浩雄
    • Organizer
      特異点と多様体の幾何学2012
    • Place of Presentation
      山形大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] Geometry of sections of certain rational elliptic surfaces and its application2012

    • Author(s)
      徳永浩雄
    • Organizer
      代数幾何学城崎シンポジウム
    • Place of Presentation
      兵庫県豊岡市
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] Geometry od sections of rational elliptic surfaces2012

    • Author(s)
      徳永浩雄
    • Organizer
      代数幾何学シンポジウム
    • Place of Presentation
      豊岡市
    • Year and Date
      2012-10-23
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Geometry of section of elliptic surfaces and its applications2012

    • Author(s)
      H. Tokunaga
    • Organizer
      Topology of Singularities and Related Topics III
    • Place of Presentation
      University of Dalat
    • Year and Date
      2012-03-30
    • Data Source
      KAKENHI-PROJECT-21540033
  • [Presentation] Combinatorial type of plane curves and an elliptic surface over C(t)2012

    • Author(s)
      徳永浩雄
    • Organizer
      Oberseminar komplexe Analysis
    • Place of Presentation
      Ruhr Unversitaet Bochum, Bochum (ドイツ)
    • Year and Date
      2012-09-25
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Zariski N-plet for conic arrangements2012

    • Author(s)
      徳永浩雄
    • Organizer
      Topology Seminar
    • Place of Presentation
      Universidad de Zaragoza, Zaragoza(スペイン)
    • Year and Date
      2012-10-05
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Abel's theorem for bisections on rational elliptic surfaces and Zariski k-plet for conic arrangements2012

    • Author(s)
      徳永浩雄
    • Organizer
      WCU workshop on classification and construction of algebraic varieties
    • Place of Presentation
      Busan(韓国)
    • Year and Date
      2012-05-08
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Splitting curves for double covers and the topology of the complements of certain curves on rational ruled surfaces2011

    • Author(s)
      徳永浩雄
    • Organizer
      DMV Jarestagung
    • Place of Presentation
      Unversitaet zu Koeln, Koeln(ドイツ)
    • Year and Date
      2011-09-19
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] On quadratic residue curves and their applications, Computational Aspects of Birational Geometry2011

    • Author(s)
      徳永浩雄
    • Organizer
      National Institute for Mathematical Sciences
    • Place of Presentation
      Daejeon(韓国)
    • Year and Date
      2011-03-29
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Splitting curves for double covers and the topology of the complements of certain curves on rational ruled surfaces2011

    • Author(s)
      H.Tokunaga
    • Organizer
      DMW Jahrestagung 2011
    • Place of Presentation
      Universitat zu Koln
    • Year and Date
      2011-09-19
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Presentation] On quadratic residue curves and its application2011

    • Author(s)
      H.Tokunaga
    • Organizer
      Workshop on Computational Aspects of Birational Geometry
    • Place of Presentation
      NIMS, Daejeon, Korea
    • Year and Date
      2011-03-29
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Presentation] Elliptic dihedral covers2011

    • Author(s)
      H.Tokunaga
    • Organizer
      Topology Seminar
    • Place of Presentation
      Universidad Zaragoza
    • Year and Date
      2011-09-15
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Presentation] On quadratic residue curves and their applications2011

    • Author(s)
      徳永浩雄
    • Organizer
      Computational Aspects of Birational Geometry
    • Place of Presentation
      National Institute for Mathematical Sciences(Daejeon, Korea)
    • Year and Date
      2011-03-29
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Elliptic dihedral covers2011

    • Author(s)
      徳永浩雄
    • Organizer
      Topology Seminar
    • Place of Presentation
      Unversidad de Zaragoza, Zaragoza (スペイン)
    • Year and Date
      2011-09-15
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] On splitting curves with respect to certain double covers of rational ruled surfaces2011

    • Author(s)
      徳永浩雄
    • Organizer
      代数幾何学シンポジウム-佐渡-
    • Place of Presentation
      佐渡開発総合センター
    • Year and Date
      2011-06-05
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Splitting curves for double covers and the topology of the complementsn of certain curves on rational ruled surfaces2011

    • Author(s)
      徳永浩雄
    • Organizer
      DMV Jahrestagung(ドイツ数学会年会)
    • Place of Presentation
      Universitaet zu Koeln
    • Year and Date
      2011-09-19
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Geometry of sections of elliptic surfaces and its application to Zariski pairs2011

    • Author(s)
      徳永浩雄
    • Organizer
      特異点セミナー
    • Place of Presentation
      東京理科大
    • Year and Date
      2011-10-17
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Presentation] On quadratic residue curves and its application2011

    • Author(s)
      H. Tokunaga
    • Organizer
      Workshop on Computational Aspects of Birational Geometry, NIMS
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2011-03-29
    • Data Source
      KAKENHI-PROJECT-21540033
  • [Presentation] On splitting curves with respect to certain double covers of rational ruled surfaces2011

    • Author(s)
      徳永浩雄
    • Organizer
      代数幾何学シンポジウム-佐渡-
    • Place of Presentation
      佐渡島開発総合センター
    • Year and Date
      2011-06-05
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Presentation] 楕円曲面のbi-sectionの幾何と6次曲線で分岐する二面体被覆の塔2011

    • Author(s)
      徳永浩雄
    • Organizer
      代数幾何小研究集会-宇部-
    • Place of Presentation
      宇部工業高等専門学校
    • Year and Date
      2011-01-29
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] 弱い特徴例集合と正例からの学習2011

    • Author(s)
      亀田勇一, 寺戸哲也, 徳永浩雄
    • Organizer
      第81回人工知能学会基本問題研究会
    • Place of Presentation
      甲府市
    • Data Source
      KAKENHI-PROJECT-22240010
  • [Presentation] On quadratic residue curves2010

    • Author(s)
      徳永浩雄
    • Organizer
      Topology of singularities and related topics
    • Place of Presentation
      Hanoi Institute of Mathematics
    • Year and Date
      2010-03-23
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] Geometry of sections on some rational elliptic surfaces2010

    • Author(s)
      徳永浩雄
    • Organizer
      Algebraic Geometry Seminar
    • Place of Presentation
      Sogang University, Seoul(韓国)
    • Year and Date
      2010-11-15
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] あるconic-quartic configurationと有理楕円曲面2010

    • Author(s)
      徳永浩雄
    • Organizer
      Workshop on Galois point and related topics
    • Place of Presentation
      神奈川大学富士見高原研修所
    • Year and Date
      2010-06-05
    • Data Source
      KAKENHI-PROJECT-21540033
  • [Presentation] On quadratic residue curves2010

    • Author(s)
      徳永浩雄
    • Organizer
      Topology of singularities and related topics
    • Place of Presentation
      ハノイ数学研究所(ベトナム)
    • Year and Date
      2010-03-23
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] Splitting curves in double covers and elliptic surfaces2010

    • Author(s)
      H.Tokunaga
    • Organizer
      Galois-theoretic Arithmetic Geometry
    • Place of Presentation
      国際高等研究所
    • Year and Date
      2010-10-20
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Presentation] Some sections on rational elliptic surfaces and certain conic-quartic configurations2010

    • Author(s)
      徳永浩雄
    • Organizer
      Topology Seminar
    • Place of Presentation
      Universidad de Zaragoza, Zaragoza(スペイン)
    • Year and Date
      2010-09-30
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Splitting curves in double covers and elliptic surfaces2010

    • Author(s)
      徳永浩雄
    • Organizer
      Galois-theoretic Arithmetic Geometry
    • Place of Presentation
      国際高等研究所
    • Year and Date
      2010-10-20
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Conic-quartic configuration and rational elliptic surfaces2010

    • Author(s)
      徳永浩雄
    • Organizer
      特異点と多様体の幾何学
    • Place of Presentation
      山山形大学
    • Year and Date
      2010-09-15
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Dihedral covers, Mordell-Weil groups and Zariski pairs2010

    • Author(s)
      徳永浩雄
    • Organizer
      Algebraic Geometry Seminar
    • Place of Presentation
      Korean Institutefor Advanced Studies, Seoul(韓国)
    • Year and Date
      2010-11-16
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] 平面$4$次曲線と$2$次曲線の相互律について2010

    • Author(s)
      H.Tokunaga
    • Organizer
      近畿大学理工学部談話会
    • Place of Presentation
      近畿大学
    • Year and Date
      2010-01-21
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Presentation] Splitting curves in double covers and elliptic surfaces, Galois theoretic Arithmetic Geometry2010

    • Author(s)
      H. Tokunaga
    • Place of Presentation
      国際高等研究所
    • Year and Date
      2010-10-16
    • Data Source
      KAKENHI-PROJECT-21540033
  • [Presentation] Splitting curves in double covers2009

    • Author(s)
      徳永浩雄
    • Organizer
      Branched Coverings, Degenerations, and Related Topics
    • Place of Presentation
      広島大学
    • Year and Date
      2009-03-11
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] On quadratic residue divisors and their application2009

    • Author(s)
      徳永浩雄
    • Organizer
      5th Franco-Japanese symposium on Singularites
    • Place of Presentation
      Universite de Strasbourg
    • Year and Date
      2009-08-27
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] Inferability of Unbounded Unions of Certain Closed Set Systems2009

    • Author(s)
      Yuichi Kameda, Hiroo Tokunaga
    • Organizer
      Sixth Workshop on Learning with Logics and Logics for Learning
    • Place of Presentation
      京都
    • Year and Date
      2009-07-06
    • Data Source
      KAKENHI-PROJECT-19300046
  • [Presentation] Splitting curves in double covers, Brenched covering2009

    • Author(s)
      H. Tokunaga
    • Organizer
      degeneration and related topics
    • Place of Presentation
      広島大学大学院理学研究科
    • Year and Date
      2009-03-11
    • Data Source
      KAKENHI-PROJECT-19540016
  • [Presentation] Splitting curves, dihedral covers and the Mordell-Weil groups2009

    • Author(s)
      徳永浩雄
    • Organizer
      Singularities in Aarhus
    • Place of Presentation
      Aarhus大学(デンマーク)
    • Year and Date
      2009-08-20
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] Splitting curves, dihedral covers and the Mordell-Weil groups2009

    • Author(s)
      徳永浩雄
    • Organizer
      Sinularites in Aarhus
    • Place of Presentation
      Aarhus University
    • Year and Date
      2009-08-20
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] Splitting curves, dihedral covers and the Mordell-Weil groups2009

    • Author(s)
      徳永浩雄
    • Organizer
      Hodge theory and algebraic geometry
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-29
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] Splitting curve と二面体被覆2009

    • Author(s)
      H.Tokunaga
    • Organizer
      Workshop on Galois point and related topics
    • Place of Presentation
      神奈川大学富士見高原研修所
    • Year and Date
      2009-06-06
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Presentation] Splitting curves in double covers, Branched coverings2009

    • Author(s)
      徳永浩雄
    • Organizer
      Degenerations, and Related Topics
    • Place of Presentation
      広島大学
    • Year and Date
      2009-03-11
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] On quadratic residue divisors and their application2009

    • Author(s)
      H.Tokunaga
    • Organizer
      5th Franco-Japanese symposium on Singularites
    • Place of Presentation
      Universite de Strasbourg
    • Year and Date
      2009-08-27
    • Data Source
      KAKENHI-PROJECT-21244004
  • [Presentation] Splitting curveと二面体被覆2009

    • Author(s)
      徳永浩雄
    • Organizer
      Workshop on Galois points and related topics
    • Place of Presentation
      神奈川大学富士見高原研修所
    • Year and Date
      2009-06-06
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] 完備特徴例集合を用いた言語の有界和の正データからの学習-多項式イデアルから木パターン言語へ-2008

    • Author(s)
      徳永浩雄, 山本章博
    • Organizer
      人工知能学会第68回人工知能基本問題研究会
    • Place of Presentation
      札幌
    • Year and Date
      2008-01-16
    • Data Source
      KAKENHI-PROJECT-19300046
  • [Presentation] Noether閉集合族の有限和の学習2008

    • Author(s)
      亀田勇一, 徳永浩雄, 山本章博
    • Organizer
      人工知能学会第70回人工知能基本問題研究会
    • Place of Presentation
      京都
    • Year and Date
      2008-07-04
    • Data Source
      KAKENHI-PROJECT-19300046
  • [Presentation] Cubic equations and non-Galois triple covering of p^2 branched along quintic curves2008

    • Author(s)
      保村匡亮, 徳永浩雄
    • Organizer
      Galois理論とその周辺徳島2008
    • Place of Presentation
      徳島大学
    • Year and Date
      2008-09-09
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] Construction of non-Galois triple covers via pull back2008

    • Author(s)
      徳永浩雄
    • Organizer
      Workshop on Galois points and related topics
    • Place of Presentation
      神奈川大学富士見高原研修所
    • Year and Date
      2008-06-08
    • Data Source
      KAKENHI-PROJECT-19540016
  • [Presentation] Cubic equations and non-Galois triple covering of P2 branchied along quintic curves2008

    • Author(s)
      保村匡亮(発表者), 徳永浩雄
    • Organizer
      ガロア理論とその周辺徳島2008
    • Place of Presentation
      徳島大学
    • Year and Date
      2008-09-09
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] 楕円曲面を用いた公開鍵暗号への効率的な攻撃法2008

    • Author(s)
      福地 弘之, 内山 成憲, 徳永 浩雄
    • Organizer
      日本応用数理学会研究部会連合発表会
    • Place of Presentation
      首都大学東京12号館102号室
    • Year and Date
      2008-03-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Cubic equations and non-Galois triple covering of P^2 branchied along quintic curves2008

    • Author(s)
      徳永浩雄、保村匡亮
    • Organizer
      ガロア理論とその周辺
    • Place of Presentation
      徳島大学工業会館
    • Year and Date
      2008-09-09
    • Data Source
      KAKENHI-PROJECT-19540016
  • [Presentation] Construction of non-Galois triple covers via "pull-back"2008

    • Author(s)
      保村匡亮, 徳永浩雄(両者で発表)
    • Organizer
      Workshop on Galois point and related topics
    • Place of Presentation
      神奈川大学富士見高原研修所
    • Year and Date
      2008-06-08
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] 完備特徴例集合を用いた言語の有界和の正データからの学習-多項式イデアルから木パターン言語へ-2008

    • Author(s)
      徳永浩雄, 山本章博
    • Organizer
      人工知能学会 第68回人工知能基本問題研究会
    • Place of Presentation
      札幌
    • Year and Date
      2008-01-16
    • Data Source
      KAKENHI-PROJECT-19300046
  • [Presentation] Triple covers of algebraic surfaces and a generalization of Zariski's example2007

    • Author(s)
      石田弘隆, 徳永浩雄(発表者)
    • Organizer
      4th Franco-Japanese symposium on Singularites
    • Place of Presentation
      富山市
    • Year and Date
      2007-08-30
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] Computing Characteristic Sets of Bounded Unions of Polynomial Ideals2007

    • Author(s)
      Takamatsu, I., Kobayashi, M., Tokunaga, H., and Yamamoto, A.
    • Organizer
      Fiftth Workshop on Learning with Logics and Logics for Learning(LLLL2007)
    • Place of Presentation
      宮崎
    • Year and Date
      2007-06-19
    • Data Source
      KAKENHI-PROJECT-19300046
  • [Presentation] Local trigonal fibrationに関する一注意2007

    • Author(s)
      徳永浩雄
    • Organizer
      Workshop on Galois points and related topics
    • Place of Presentation
      神奈川大学富士見高原研修所
    • Year and Date
      2007-06-30
    • Data Source
      KAKENHI-PROJECT-19540016
  • [Presentation] Local trigonal fibrationについて2007

    • Author(s)
      徳永浩雄
    • Organizer
      高次元代数多様体とベクトル束の代数幾何学
    • Place of Presentation
      九州大学
    • Year and Date
      2007-09-11
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] Computing Characteristic Sets of Bounded Unions of Polynomial Ideals2007

    • Author(s)
      Takamatsu, I., Kobayashi, M., Tokunaga, H., Yamamoto, A.
    • Organizer
      Fiftth Workshop on Learning with Logics and Logics for Learning (LLLL2007)
    • Place of Presentation
      宮崎
    • Year and Date
      2007-06-19
    • Data Source
      KAKENHI-PROJECT-19300046
  • [Presentation] Triple covers of algebraic surfaces and a generalization of Zariski' s example2007

    • Author(s)
      徳永浩雄
    • Organizer
      日仏特異点シンポジウム
    • Place of Presentation
      富山市
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] 代数曲面を用いた公開鍵暗号の安全性について2007

    • Author(s)
      内山 成憲, 徳永 浩雄
    • Organizer
      2007年暗号と情報セキュリティシンポジウム2C1-2
    • Place of Presentation
      長崎県佐世保市ハウステンボス
    • Year and Date
      2007-01-24
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Geometry of sections of certain rational elliptic surfaces

    • Author(s)
      Hiroo Tokunaga
    • Organizer
      代数幾何学城崎シンポジウム
    • Place of Presentation
      豊岡市
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Geometry of (multi-)sections of elliptic surfaces and its appliations

    • Author(s)
      徳永浩雄
    • Organizer
      射影多様体の幾何とその周辺
    • Place of Presentation
      高知大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Geometry of sections of elliptic surfaces and its applications

    • Author(s)
      徳永浩雄
    • Organizer
      1st Franco-Japanese-Vietnamese Symposium on Singularities
    • Place of Presentation
      Nice, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Zariski N-plet for conic arrangements

    • Author(s)
      Hiroo Tokunaga
    • Organizer
      Topology Seminar
    • Place of Presentation
      Universidad de Zaragoza サラゴサ(スペイン)
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Elliptic surfaces and Zariski pairs for conic-line arrangements

    • Author(s)
      徳永浩雄
    • Organizer
      Joint international meeting of American Math. Soc. and Romania Math. Soc
    • Place of Presentation
      Alba-Iulia (Romania)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] Abel's theorem for bisections on rational elliptic surfaces and Zariski k-plet for conic arrangements

    • Author(s)
      Hiroo Tokunaga
    • Organizer
      WCU workshop on classification and construction of algebraic varieties
    • Place of Presentation
      釜山(韓国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Elliptic surfaces and Zariski pairs for conic-line arrangements

    • Author(s)
      徳永浩雄
    • Organizer
      Joint International Meeting of the AMS and RMS
    • Place of Presentation
      Alba-Iulia, Romania
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Combinatorial type of plane curves and an elliptic curve over C(t)

    • Author(s)
      Hiroo Tokunaga
    • Organizer
      Oberseminar ueber komplexe Analysis
    • Place of Presentation
      Ruhr Univesitaet Bochum ボーフム(ドイツ)
    • Data Source
      KAKENHI-PROJECT-22540052
  • [Presentation] Geometry of (multi-) sections of elliptic surfaces and its applications

    • Author(s)
      徳永浩雄
    • Organizer
      射影多様体の幾何とその周辺
    • Place of Presentation
      高知大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
  • [Presentation] Geometry of sections of elliptic surfaces and its applicaitons

    • Author(s)
      徳永浩雄
    • Organizer
      1st Franco-Japanese-Vietnamese Symposium on Singularities
    • Place of Presentation
      Nice (France)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244002
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    # of Collaborated Projects: 4 results
    # of Collaborated Products: 17 results
  • 12.  MATSUNO Kazuo (40332936)
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  • 13.  NAKAMURA Hiroaki (60217883)
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  • 14.  TERASOMA Tomohide (50192654)
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  • 15.  OGOMA Tetsushi (20127921)
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  • 16.  MAEDA Yoshiaki (40101076)
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  • 17.  MIYAOKA Reiko (70108182)
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  • 18.  OHNITA Yoshihiro (90183764)
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  • 19.  OTOFUJI Takashi (70339266)
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  • 20.  KONDO Shigeyuki (50186847)
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  • 21.  ASHIKAGA Tadashi (90125203)
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  • 22.  AKIYAMA Shigeki (60212445)
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  • 23.  YOSHINAGA Masahiko (90467647)
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  • 24.  長沼 英久 (40025408)
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  • 26.  SERGEI V. Ketov (70347269)
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  • 27.  HIRATA Kouichi (20274558)
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  • 28.  TAJIMA Shin-ichi (70155076)
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  • 29.  ISHIKAWA Goo (50176161)
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  • 30.  TSUCHIMOTO Yoshifumi (10271090)
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  • 31.  DOI Koichiro (10345126)
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  • 32.  TAKEMURA Akimichi (10171670)
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  • 33.  AKAHO Manabu (30332935)
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  • 34.  KOHNO Toshitake (80144111)
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  • 35.  KOBAYASHI Shinpei (40408654)
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  • 36.  SAKAI Takashi (30381445)
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  • 37.  MOCHIZUKI Shinichi (10243106)
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  • 38.  TAKATA Toshie (40253398)
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  • 39.  TSUNOGAI Hiroshi (20267412)
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  • 40.  ISHIKAWA Yoshihiro (50294400)
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  • 41.  TAMAGAWA Akio (00243105)
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  • 42.  USUI Sampei (90117002)
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  • 43.  UCHIYAMA Shigenori (40433172)
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  • 44.  SUWA Tatsuo (40109418)
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  • 45.  TAKEDA Yuichiro (30264584)
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  • 46.  ITO Yukari (70285089)
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  • 49.  TAKAHASHI Takeshi (60390431)
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  • 53.  阿部 拓郎 (50435971)
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  • 56.  KATO Tsuyoshi (20273427)
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  • 57.  KATO Fumiharu (50294880)
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  • 58.  SHIMIZU Yuji (80187468)
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  • 59.  SEKIGAWA Kouei (60018661)
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  • 60.  ISHIDA Hirotaka (30435458)
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  • 61.  KAMISHIMA Yoshinobu (10125304)
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  • 62.  KUROSU Sanae (70457844)
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  • 63.  WATANABE Takao (30201198)
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  • 64.  MATSUMOTO Makoto (70231602)
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  • 65.  FURUSHO Hidekazu (60377976)
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  • 66.  HOSHI Yuichiro (50456761)
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  • 116.  OTAKI Keisuke
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  • 117.  FUKASAWA Satoru
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  • 119.  Guerville-Balle Benoit
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  • 120.  Tumenbayar Kuhlan
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    # of Collaborated Products: 3 results

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