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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) 2022: 東京都立大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help 2020 – 2022: 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 / Fundamental theory of informatics / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / Algebra / Geometry / Intelligent informatics / 代数学・幾何学 / Geometry / 解析学 / Basic Section 11020:Geometry-related
Keywords
Principal Investigator
Zariski pair / Mordell-Weil群 / 楕円曲面 / 基本群 / Galois分岐被覆 / Alexander多項式 / Galois被覆 / 楕円曲線 / branch locus / height pairing … More / 非有理次数 / dihedral Galois covering / splitting curve / Zariski N 組 / Mordell-Weil格子 / Galois cover / Groebner基底 / Mumford表現 / 分解数 / ザリスキ対 / ガロア被覆 / ザリスキペア / 6次曲線 / semi-stable elliptic surface / S_4被覆 / dihedral Galors被覆 / torus分解 / Albanese次元 / 正例からの極限同定可能性 / Noether環 / 有限の弾力性 / 特徴例集合 / 多項式環 / トーリック多様体 / ニュートン図形 / 特異点解消 / Dickgonの補題 / 下方集合 / ザリスキ・ペア / 相互法則 / non-Galois 3次被覆 / 引き戻し構成 / versal Galois被覆 / 3次被覆 / 特異K3曲面 / 分解曲線 / 楕円曲面の切断 / アーベル・ヤコビ写像 / 二面体被覆 / section / conic-line arrangement / Mordell Weil群 / 整切断 / 2重切断 / Zariski ペア / contact conic / k Artal arrangement / bisection / 有理楕円曲面 / Zariski 対 / 不定方程式 / 暗号 / ペアリング / Zariski N組 / Jacobi多様体 / ガロア分岐被覆 / Zariski k組 / 線型表現 / (2,3)torus曲線 / 双対曲線 / 格子 / 交点数 / Fiber sum / Linear representaion / (2, 3) torus curves / dual curves / elliptic surface / elliptic curve / lattices / versal被覆 / 3次体 / Zariski k-plet / 超特異K3曲面 / 有理2重点 / Mordell曲線 / Zariski Κ-plet / 超特異κ3曲面 / versal cover / fundahnental group / cubic fields / Zariski κ-plet / super singular K3 surfaces / rational double points / Mordell curves / 多重切断 / Zariski N-ple / 埋め込み位相 / Zariski対 / Abel-Jacobi写像 / モデュラー曲線 / 連結数 / quasi torus分解 / 曲線配置 / 曲線配置のトポロジー / 超楕円曲線 / 因子類 / contact curve / quasi-toric relation / マンフォード表現 / モーデル-ヴェイユ格子 … More
Except Principal Investigator
分岐被覆 / ガロワ群 / ガロワ点 / 超平面配置 / ガロワ埋め込み / 基本群 / 代数曲線 / K3曲面 / 楕円曲線 / 代数幾何学 / ガロワ被覆 / 代数曲面 / 自己同型群 / ガロワ直線 / Galois group / Galois point / 超幾何積分 / 鏡映群 / 局所系コホモロジー / モジュライ空間 / 特異点 / アーベル曲面 / Zariski対 / Galois embedding / ザリスキー対 / ガロア被覆 / algebraic surface / 代数多様体 / K3 surface / 下方集合 / 幾何学 / 可積分系 / 量子コホモロジー / 機械学習 / 知識発見 / 退化 / 写像類群 / 双有理変換 / ミルナー束 / Alexander多項式 / 代数学 / 射影 / 代数曲線束 / 楕円曲面 / 局所不変量 / モノドロミー / モーデル・ヴェイユ格子 / Galois line / Fundamental group / algebraic curve / hyperplane arrangement / local system cohomology / reflection group / 関数体 / function field / 格子 / 6次曲線 / birational transformation / Mordell-Weil lattice / Python / NZMATH / plane curve / lattices / supersingularity / rational double point / fundamental group / dual variety / 帰納的極限 / ネ-タ-環 / N^^´ron Desingularization / テ-タ群 / モジュラ-埋込み / 基本p拡大 / 非ガロア被覆 / MordellーWeil群 / ジーゲル・モジュラー群(Siegel modular group) / 交換子群(commutator subgroup) / 保型形式(automorphic form) / 2次形式(quadratic form) / 楕円曲線(elliptic curve) / 有限郡(finite group) / ディリクレ形式(Dirichlet form) / 象限確率(orthant probability) / 非可換幾何学 / 超代数 / 非可換多様体 / 複素力学系 / ファトウ集合 / ジュリア集合 / 超越整関数 / 単峰写像 / 分岐理論 / 表現空間 / タイヒミュラー空間 / 計算論的学習理論 / 極限同定 / ブール代数 / イデアル / 多項式 / サポート・ベクトル / サポート・ベクトル・マシン / コクセター群 / 対数的微分型式 / 対数的微分 / 多重超平面配置 / トポロジー / コンピュータ実験 / 可視化 / 計算機システム / 可視可 / 量子物理 / コンピューター実験 / 学習と発見 / 帰納論理 / 計算代数 / 情報基礎 / 応用数学 / 計算論的学習 / データマイニング / 構造データ / 代数科学 / 共形場理論 / モジュラー函手 / 位相的場の理論 / タイヒミュラー / GNS構成法 / ゲージ対称性 / 剛幾何学 / モジュライ空 / 無限可積分系 / 代数多様体の退化 / 重複ファイバー / トロピカル幾何学 / 変形パラメータ / 導来圏 / 接続 / ゲージ理論 / ユニタリ性 / 射影的平坦接続 / Hitchin接続 / p進剛幾何学 / ペンローズ変換 / 最小ガロワ閉包多様体 / モノドロミー群 / Galois closure surface / very ample diviosr / 分岐因子 / Milnor fibrattion / polar weighted / mixed function / polar degree / symplextic structure / contact structure / 混合特異点 / 極擬斉次多項式 / 混合射影曲線 / トム不等式 / polar weihted / radially weighted / Milnor fibration / Polar作用 / 数論幾何学 / 遠アーベル幾何 / 国際研究者交流 / 整数論 / モノドロミー表現 / デデキント和 / ガロア・タイヒミュラー理論 / 組みひも群 / Eisenstein級数 / 種数1の曲線 / 単尖点有理曲線 / 形式概念解析 / 閉集合 / 実数計算 / 離散構造データ / フラクタル / 堀川指数 / 自己同型 / 対数的混合ホッジ構造 / 原始的双有理変換 / 特異ファイバー / 退化族 / ホッジ理論 / オービフォールド特性類 / ガロワ閉包多様体 / finite covering / 射影多様体 / 特性類 / ノット / 特異点をもつ葉層 / 双対曲線 / σS_3被覆 / トーリック写像 / Adjunction公式 / トーリック埋め込み / 特異点 解消 / Zariski 対 / 葉層構造 / 完全交差 / Zariski Pair / Galois covering / Characteristic Class / Knot / Singularity / Singular foliation / Elliptic Curves / 非有利次数 / 小平次元 / 極大有理的中間体 / 非有理次数 / 極大有理中間体 / degree of irrationality / Kodaira dimension / maximal rational intermediate subfield / ガウス・マニン接続 / KZ方程式 / 対数的極 / 組合せ同値 / hyper geometric integral / 超曲面 / 空間曲線 / 射影空間 / hypersurface / projection / space curve / Galoi line / カラビ-ヤウ多様体 / 安定ベクトル束 / Calabi-Yau manifold / stable vector bundle / moduli space / hypergeometric integral / 3次体 / Mordell曲線 / 3次生成的多項式 / Mordell-Weil群 / Mordell-Weil rank / Miranda-Perssonの問題 / 3次巡回体 / 生成多項式 / Hilbert's Th.90 / generic polynomial / 3次twist / Fermat3次曲線 / Cubic Field / Mordell Curve / Elliptic Curve / Cubic Generic Polynomial / Mordell-Weil Group / Mordell-Weil Rank / Elliptic Surface / Miranda-Persson's Problem / 符号 / 柊子 / tundamental group / singularity / lattice / code / Galocs cover / 空間代数曲線 / 被覆多様体 / space algebraic curve / automorphism group / ramified covering / 局所符号数 / ガロア点 / 標準サイクル / スロープ / 標準線形系 / endomorphism / 有理曲面 / fibration / モジュライ / 符号数 / コンパクト化 / 超特異K3局面 / Pencil of algebraic curves / local signature / branched covering / Zanski pair / 数論アルゴリズム / 暗号理論 / 数論システム / 量子公開鍵暗号 / algorithmic number theory / cryptologic research / system for number theory / theta-Alexander多項式 / Dihedral被覆 / non-reducedな退化 / tangential Alexander多項式 / non-reduced degeneration / 交点数 / ヤコビアン予想 / 接アレクサンダー多項式 / thetaアレクサンダー多項 / line-退化 / トーラス型 / Alexander polynomial / Zariski pairs / theta-Alexander polynomials / Dihedral covers / non-reduced degenerations / ガロワ部分空間 / ガロワ群の表現 / abelian surface / 平面曲線 / グレブナー基底 / 超特異性 / 正標数 / 被覆 / bi-elliptic surface / ミルナーファイバー / オイラー多項式 / 実構造 / 二次曲線配置 / 特性多項式 / エルハルト多項式 / 準ガロワ点 / 射影代数多様体 / 平面代数曲線 / リース積 / リサージュ曲線 / 離散構造 / 滑層空間 Less
  • Research Projects

    (48 results)
  • Research Products

    (242 results)
  • Co-Researchers

    (116 People)
  •  Elliptic surfaces, branched covers and the topology of plane curve arrangementsPrincipal Investigator

    • Principal Investigator
      徳永 浩雄
    • Project Period (FY)
      2020 – 2023
    • 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
      吉永 正彦
    • 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 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] 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

    • 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

      Journal of 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 tuples for a smooth cubic and its tangent lines2020

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

      Proceedings of the Japan Academy, Series A, Mathematical Sciences

      Volume: 96 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

    • 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

    • 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 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

      Geom. Dedicata

      Volume: 未定 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

      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] 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: 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] 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 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] Some sections on rational elliptic surfaces and certain special conic-quartic configurations2012

    • Author(s)
      H.Tokunaga
    • Journal Title

      KMJ

      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] 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] 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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  • 2.  SHIMADA Ichiro (10235616)
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  • 4.  KONNO Kazuhiro (10186869)
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  • 76.  KURANO Kazuhiko (90205188)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 77.  TSUCHIHASHI Hiroyasu (00146119)
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    # of Collaborated Products: 0 results
  • 78.  NAKANO Shin (40180327)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 79.  IZUMIYA Shunichi (80127422)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 80.  HOMMA Masaaki (80145523)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 81.  ENDO Hisaaki (20323777)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 82.  SUZUKI Toshio (30235973)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 83.  TSUMURA Hirofumi (20310419)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 84.  KIDA Masanari (20272057)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 85.  NAGAO Ko-ichi (00308321)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 86.  YOKOTA Yosiyuki (40240197)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 87.  IMAI Jun (70221132)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 88.  SAITO Mutsuni (70215565)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 89.  MIURA Kei (50353321)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 90.  中田 道孝 (10043697)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 91.  野間口 謙太郎 (60124806)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 92.  諸澤 俊介 (50220108)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 93.  大坪 義夫 (20136360)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 94.  菅野 浩明 (90211870)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 95.  三輪 哲二 (10027386)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 96.  井上 義也 (10232571)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 97.  小木曽 啓示 (40224133)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 98.  内田 幸寛 (90533258)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 99.  與倉 昭治 (60182680)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 100.  福田 拓生 (00009599)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 101.  松本 幸夫 (20011637)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 102.  小田 忠雄 (60022555)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 103.  山田 裕史 (40192794)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 104.  難波 誠 (60004462)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 105.  中山 昇 (10189079)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 106.  福永 力 (00189961)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 107.  福田 隆 (00181272)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 108.  真田 克典 (50196292)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 109.  阿部 拓郎 (50435971)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 110.  長谷部 高広 (00633166)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 111.  IKEDA Madori
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 112.  OTAKI Keisuke
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 113.  FUKASAWA Satoru
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 114.  HOSHI Akinari
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 115.  Guerville-Balle Benoit
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 116.  Tumenbayar Kuhlan
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results

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