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FUKUI Toshizumi  福井 敏純

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… Alternative Names

福井 敏純  フクイ トシスミ

福井 純  フクイ トシズミ

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Researcher Number 90218892
External Links
Affiliation (Current) 2023: 埼玉大学, 理工学研究科, 教授
Affiliation (based on the past Project Information) *help 2023: 埼玉大学, 理工学研究科, 教授
2012 – 2021: 埼玉大学, 理工学研究科, 教授
2013: 埼玉大学, 大学院・理工学研究科, 教授
2010: 埼玉大学, 理学部, 教授
2007 – 2010: 埼玉大学, 大学院・理工学研究科, 教授 … More
2006 – 2008: Saitama University, Department of Mathematics, Professor, 理工学研究科, 教授
2002 – 2008: SAITAMA UNIVERSITY, FACULTY of SCIENCE, PROFESSOR, 理学部, 教授
2006: Saitama University, Graduate School of Engineering and Science, Professor, 大学院理工学研究科, 教授
1995 – 2002: 埼玉大学, 理学部, 助教授
1993: 名古屋工業大学, 工学部, 講師 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Geometry / Algebra / Algebra / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis
Keywords
Principal Investigator
特異点 / 特異点論 / 特異曲面 / 安定摂動 / Thom-Boardman特異点 / Cohen-Macaulay環 / 写像の特異点 / Thom-Boardman多様体 / Cohen-Macaulay性 / ブロー解析的写像 … More / 写像度 / modefied analytic / 重み付き斉次多項式 / toric modefication / modified analytic / トーリック多様体 / Newton図形 / toric modification / 距離2乗関数 / 高さ関数 / 国際研究者交流 / 一般線形群の表現 / 改変後自明性 / ニュートンフィルトレーション / 曲面の臍点 / 改変後解析性 / Singularities of maps / Thom-Boardman manifolds / Cohen-Macaaulay property / Representation of general linear group / blow-analytic map / modified analytic trivialization / Newton filtration / トム=ボードマン集合 / 摂動 / コーエン=マコーレイ性 / 古典微分幾何 / ジェット空間 / 臍点と曲率線 / 指数 / オイラー数 / 劣解析写像 / ブロー解析写像 / Lipschitz性 / 自由分解 / 幾何学的方法 / Lipshitz性 / Sardの定理 / 実解析関数の特異点 / ゼータ関数 / Singularity of Map / Thom-Boardman set / pertuabtion / Cohen-Macaulay property / classical differential geometry / jet sapce / umblics and line of curvature / 特異点理論 / 曲面 / ホイットニーの傘 / 非固有点軌跡 … More
Except Principal Investigator
特異点 / Fukui invariant / 特異点解消 / 平面曲線 / ブローナッシュ自明性 / ブロー半代数的自明性 / 福井不変量 / 粘性解 / 特異点論 / ブロー解析同値 / リプシッツ同値 / 点列選択性性質 / Poisson manifold / Schouten bracket / ブロー解析性 / Symplectic characteristic / 擬微分作用素 / 解析的準楕円性 / CR多様体 / Bellman方程式 / 有理尖点曲線 / 巡回被覆 / 特性類 / ゼータ関数 / 微分トポロジー / ゴナリティ / 断熱展開 / 漸近展開 / 実ツリーモデル / 定義可能集合 / 層化理論 / 幾何学 / ツリーモデル / 実代数幾何学 / リプシッツ不変量 / singularity / クレモナ変換 / 有理関数 / plane curve / contact structure / Poisson cohomology / generalized divergence / symplectic foliation / leaf invariant / Spin / 比較定理 / 位数 / 福井の不変量 / ナッシュ近似定理 / イソトピー補題 / トーリック特異点解消 / 平坦性 / Leibniz algebra / Leibniz cohomology / 特異葉層構造 / モチーフ型不変量 / Blow-Nash triviality / blow-analytic equivalence / Lie algebroid / almost Dirac structure / Dirac structure / paratangent bundle / smooth function / Whitney's extension problem / interpolation / 局所可解性 / 最適制御問題 / 双対曲線 / トム多項式 / モチビック不変量 / 微分幾何学 / 映像理論 / 保型形式 / モジュラ形式 / 半整数の重さのモジュラ形式 / ジーゲルモジュラ形式 / ヤコビ形式 / ヤュビ形式 / 半整数9重さ9モジュラ形式 / 有限群 / 微分幾何 / CR-Weyl接続 / 実超曲面 / 田中-Webster接続 / 直線バンドル / Kaehler多様体 / 分布 / Weyl接続 / 横断的 / 第二基本テンソル / ポアソン構造 / 積分可能性 / 包合性 / 外微分形式系 / G構造 / 接触変換 / 延長 / ウェッブ構造 / スペンサーコホモロジー / 描板 / 接触多様体 / Lie亜代数 / ボアソン幾何学 / 包合系 / オイラー・ラグランジュ方程式 / 接触構造 / モンジュ・アンペール方程式 / 代数幾何 / ワイエルシュトラス点 / 分岐点 / 自己同型群 / セクスタクティック点 / 変曲点 / 代数曲線 / 有理関数体 / 熱核 / 接触リーマン多様体 / Kohn-Rossi Lalacian / CR-多様体 / Heisenberg群 / Kohn-Rossi Laplacian / Tanaka-Webster接続 / Tanno接続 / 球面 / ラプラス作用素 / 初等関数表示 / C^1同値 / 半直線-(SSP)条件 / 曲率集中化問題 / C^r同値 / 点列選択性条件 / オーミニマル構造 / 実閉体 / Lojasiewicz不等式 / ミルナー半経一様性 / Whitney条件(a) / 解析学 / A'Campo 曲率隆起 / 曲率集中化 / SSP 幾何学(オーストラリア) / A'Campo 曲率隆起(オーストラリア) / 曲率集中化問題(オーストラリア) / SSP 幾何学(オーストラリア) / A'Campo 曲率隆起(オーストラリア) / 曲率集中化問題(オーストラリア、フランス) / SSP幾何学(オーストラリア) / ナッシュ曲面 / 半代数的同値 / 同程度特異性 / 接方向的横断性 / ナッシュ構造安定 / 相対ジェットの十分性 / 代数的特異点 / ナッシュ多様体 / 半代数的自明性 / ナッシュ構造安定性 / 同程度特異性問題 / 位相モジュライ / 微分位相幾何学 / 半代数的写像 / 概均質ベクトル空間 / b関数 / デジタル署名 / ミルナ-数 / セキュリティー / CR部分多様体 / ベルアン方程式 / Zeta function / Prehomogenous / 総ミルナー数 / 有理曲線 / 尖点 / 2次変換 / 重複度列 / 環と体 / 重複度 / 代数曲面 / 変形 / rational curve / cuspidal curve / multiplicity sequence / quadratic transformation / place at infinity / projective equivalence / maximal multiplicity / Hirsch foliation / Dirac manifold / 退化楕円型方程式 / 一様楕円型方程式 / 最適制御 / 完全非線形方程式 / ハルナックの不等式 / 最大値原理 / 半連続粘性解 / 微分ゲーム / 動的計画原理 / ハミルトン・ヤコビ方程式 / アイザックス方程式 / 半連続性解 / viscosity solutions / degenerate elliptic equation / optimal control / differential game / state constraint / dynamic programming / Hamilton-Jacobi-Bellman equation / Isaacs equation / リーマン・ロッホ / コーエン・マコーレー化 / 特異多様体 / オルタレーション / resolution of singularity / Riemann-Roch / Cohen-Macaulayfication / singular variety / 零評価 / ネタリアン関数 / 局所環 / zero-estimate / order / Noetherian function / モディファイド・ナッシュ自明性 / 複雑性 / トーソック特異点解消 / modified Nash triviality / blow-analyticity / Nash approximation theorem / isotopy lemma / toric desingularization / flatness / complexity / Nambu-Possin多様体 / 中心拡大 / パフ系 / Nambu-Poisson多様体 / ポアソン多様体 / ヤコビ多様体 / Nambu-Jacobi多様体 / 葉層構造 / Fundamental Identity / 南部多様体 / ポアソン・ブラケット / 南部・ヤコビブラケット / Nambu-Poisson manifold / central extension / singular foilation / Pfaff system / 超局所解析 / 分散性波動 / 最適制御理論 / 実特異点 / Microlocal analysis / Dispersion wave / Asymptotic expantion / Viscosity solution / Optimal control / Real singularities / Comparison theorem / 函数の位数 / Spallekの定理 / テイラー展開 / 微分可能函数の平坦性 / シュパレクの定理 / 付値 / 例外集合 / order of functions / Spallek function / Taylor expansion / flatness of a differentiable functions / 層化集合 / ブロー解析的同値 / トーリック改変 / ブリアンソン・スピダー族 / Blow-semialgebraic triviality / motivic-type invariant / stratified set / Isotopy Lemma / toric modification / スピン / 四元数スピン / トウィスター空間 / カイラルアノマリー / ディラック作用素 / ディラック / トウィスター / 断熱 / スーパートレース / カイラルギャップ / カイラル / 断熱変換 / Spin^q / twistor space / chiral anomaly / Dirac operator / 対数的小平次元 / gonality / Cremona transformation / Poisson多様体 / スカウテン・ブラケット / 多重ベクトル場 / ディラック構造 / multi-vector field / singular foliation / モティヴィック・ゼータ関数 / リプシッツ同程度特異性 / ザイフェルト形式 / 昆布状近傍 / 共通接線方向次元 / ニュートン境界 / モティヴィック積分 / motivic zeta function / Lipschitz equisingularity / Seifert form / sea-tangle neighborhood / kissing dimension / 高階接空間 / Whitneyの問題 / 多変数補間法 / C^r級関数 / Hermite補間法 / 数学基礎論 / 代数学 / モデル理論 / 半代数的集合 / 順序極小構造 / geometry / mathematical logic / algebra / 最小特異点解消 / カスケード同値 / Rlow-Nash triviality / blow-analitici / tree model / minimal resolution / cascade equivalence / blow-semialeebraic triviality / Lipschitz equivalence / 複素解析 / 代数解析 / アルゴリズム / D-加群 / 局所コホモロジー / スタンダード基底 / integral number / ホロノミーD-加群 / Le numbers / b-関数 / 対数的ベクトル場 / 多項式写像芽 / 特異点消去 / 埋め込み / はめ込み / 特異ファイバー / 同境群 / データ可視化 / 可微分写像 / 構造安定性 / 実多項式写像芽 / 配置空間 / 国際研究者交流 / ブラジル:フランス / 同境 / 特異性類 / 不変量 / 特異Lefschetz束 / フランス:ドイツ:ブラジル / フランス:ドイツ:ベトナム:ブラジル Less
  • Research Projects

    (41 results)
  • Research Products

    (94 results)
  • Co-Researchers

    (66 People)
  •  特異点論におけるニュートン法の新展開Principal Investigator

    • Principal Investigator
      福井 敏純
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Saitama University
  •  How is singularity theory applied to mathematics such as surface theoryPrincipal Investigator

    • Principal Investigator
      福井 敏純
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Saitama University
  •  Research on surfaces and related differential equations from the view point of singularity theoryPrincipal Investigator

    • Principal Investigator
      FUKUI Toshizumi
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Computational complex analysis and algebraic analysis of singularities

    • Principal Investigator
      Tajima Shinichi
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      University of Tsukuba
  •  Research on global properties of algebraic singularities

    • Principal Investigator
      Koike Satoshi
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hyogo University of Teacher Education
  •  Research on surface from singular view pointPrincipal Investigator

    • Principal Investigator
      FUKUI Toshizumi
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Geometry of analytic singularities

    • Principal Investigator
      KOIKE SATOSHI
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hyogo University of Teacher Education
  •  New developments of singularity theory of mappings

    • Principal Investigator
      SAEKI OSAMU
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  On rational functions and singularities of plane algebraic curves

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Study on the general adiabatic expansion theory for heat kernels and its some applications

    • Principal Investigator
      NAGASE Masayoshi
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Synthetic research on the relationship among various equivalence relations of singularities

    • Principal Investigator
      KOIKE Satoshi
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hyogo University of Teacher Education
  •  代数多様体の変形に付随する幾何学と解析学

    • Principal Investigator
      田邊 晉 (田邊 晋)
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kumamoto University
  •  Study of CR-Weyl structures

    • Principal Investigator
      SAKAMOTO Kunio
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  RESEARCH ON THE POISSON GEOMETRY AND THE RELATED GEOMETRIES

    • Principal Investigator
      MIZUTANI Tadayoshi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  An arithmetic study of modular forms of half integral weight and Siegel modular forms

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Equisingularity Problems for Real Algebraic Singularities and Real Analytic Singularities

    • Principal Investigator
      KOIKE Satoshi
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hyogo University of Teacher Education
  •  Research of real algebraic geometry by model theory

    • Principal Investigator
      SHIOTA Masahiro
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Structures of sets related to differentiability

    • Principal Investigator
      IZUMI Shuzo
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kinki University
  •  Geometry of singularities of mapping IIPrincipal Investigator

    • Principal Investigator
      FUKUI Toshizumi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Geometry of plane algebraic curves

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Research On the Geometry Related with Structures of Manifolds and Plane Fields

    • Principal Investigator
      MIZUTANI Tadayoshi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Research on invariants of real analytic singularities

    • Principal Investigator
      KOIKE Satoshi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hyogo University of Teacher Education
  •  特異点論とその応用

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Study on the anomaly of Spin^q manifolds

    • Principal Investigator
      NAGASE Masayoshi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Research on triviality of real singularities

    • Principal Investigator
      KOIKE Satoshi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hyogo University of Teacher Education
  •  STUDY OF SEMIGROUPS OF SETS OF VALUATIONS DEFINED BY EXCEPTIONAL COMPONENTS

    • Principal Investigator
      IZUMI Shuzo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KINKI UNIVERSITY
  •  Geometry of singularities of mapsPrincipal Investigator

    • Principal Investigator
      FUKUI Toshizumi
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Global Research of Geometry related with Poisson and Contact Manifolds.

    • Principal Investigator
      MIZUTANI Tadayoshi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  On the stracture of solutions of partial differential eauqtions

    • Principal Investigator
      SAKURAI Tsutomu
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Saitama University
  •  Resolution of singularities in arbitrary characteristic

    • Principal Investigator
      KURANO Kazuhiko
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METOROPOLITAN UNIVERSITY
  •  Research of rings defined by a system of differential equations

    • Principal Investigator
      IZUMI Shuzo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KINKI UNIVERSITY
  •  Research on real algebraic singularities

    • Principal Investigator
      KOIKE Satoshi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hyogo University of Teacher Education
  •  数式処理による平面曲線の研究

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Algebraic Geometry of Plane Curves

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Research on Poisson manifolds and related structures on manifolds.

    • Principal Investigator
      MIZUTANI Tadayoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  Applications to the optimal control and differential game via the viscosity solution theory

    • Principal Investigator
      KOIKE Shigeaki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saitama University
  •  偏微分方程式の局所および大域解析

    • Principal Investigator
      SAKURAI Tsutomu
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  実特異点論Principal Investigator

    • Principal Investigator
      福井 敏純
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  The study of the pole of the zeta function.

    • Principal Investigator
      YANO Tamaki
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University
  •  実特異点論Principal Investigator

    • Principal Investigator
      福井 敏純
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Saitama University
  •  実特異点論Principal Investigator

    • Principal Investigator
      福井 敏純
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Nagoya Institute of Technology

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All Journal Article Presentation Book

  • [Book] Saitama Mathematical Journal (Proceedings of the 6th JARCS Kagoshima 2015)2017

    • Author(s)
      Toshizumi Fukui, Satoshi Koike and Laurentiu Paunescu
    • Publisher
      Area of Mathematics, Graduate School of Science and Engineering, Saitama University
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Book] Saitama Mathematical Journal, Vol. 31, 2017 (Proceedings of the sixth Japanese-Austrailan workshop on Real and Complex Singularities)2017

    • Author(s)
      Toshizumi Fukui, Satoshi Koike and Laurentiu Paunescu
    • Total Pages
      163
    • Publisher
      Area of Mathematics, Graduate School of Science and Engineering, Saitama University
    • ISBN
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Book] 曲線と曲面の基礎・基本2015

    • Author(s)
      福井敏純
    • Publisher
      牧野書店
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Book] Topics on Real and Complex Singularities2014

    • Author(s)
      Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu, Adam Harris and Alexander Isaev
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-23540087
  • [Book] Topics on Real and Complex Singu;larities2014

    • Author(s)
      Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu, Adam Harris, Alexander Issaev (編)
    • Total Pages
      201
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-23540087
  • [Book] Proceedings of the Japanese-Australian Workshop on Real and Complex Singularities JARCS III2010

    • Author(s)
      T.Fukui, A.Harris, A.Isaev, S.Koike, L.Paunescu (編)
    • Total Pages
      174
    • Publisher
      Australian National University
    • Data Source
      KAKENHI-PROJECT-20540075
  • [Book] The Japanese-Australian Workshop on Real and Complex Singularities JARCS III2010

    • Author(s)
      L.Paunescu, A.Isaev, A.Harris, T.Fukui, S.Koike(編)
    • Total Pages
      174
    • Publisher
      Australian National University
    • Data Source
      KAKENHI-PROJECT-20540075
  • [Book] Real and Complex Singularities ( Proc. Australian-Japanese Workshop)2007

    • Author(s)
      L.Paunescu, (S.Izumi, T.Fukui, S.Koike, K.Sakuma 他)
    • Total Pages
      459
    • Publisher
      World Scientific
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540087
  • [Book] Real and Complex Singularities2007

    • Author(s)
      L.Paunescu, A.Harris, T.Fukui, S.Koike (eds)
    • Total Pages
      459
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-18540084
  • [Book] Real and Complex Singularities2007

    • Author(s)
      L.Paunescu, A. Harris, T. Fukui, S. Koike (eds)
    • Total Pages
      459
    • Publisher
      World Scientific
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540084
  • [Book] Real and Complex Singularities,Proceedings of the Australian-Japanese workshop2007

    • Author(s)
      L.Paunescu(S.Izumi, T.Fukui, S.KoikeK, K.Sakuma, 他
    • Total Pages
      459
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-16540087
  • [Journal Article] Local differential geometry of cuspidal edge and swallowtail2020

    • Author(s)
      Toshizumi Fukui
    • Journal Title

      Osaka J. Math.

      Volume: 57 Pages: 961-992

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03486
  • [Journal Article] Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets2019

    • Author(s)
      Campesato Jean-Baptiste、Fukui Toshizumi、Kurdyka Krzysztof、Parusinski Adam
    • Journal Title

      Mathematische Annalen

      Volume: -

    • DOI

      10.1007/s00208-019-01805-8

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Journal Article] Local differential geometry of singular curves with finite multiplicities2017

    • Author(s)
      T. Fukui
    • Journal Title

      Saitama Mathematical Journal

      Volume: 31 Pages: 79-88

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Journal Article] Invariants for bi-Lipschitz equivalence of ideals2017

    • Author(s)
      C. Bivia-Ausina and T. Fukui
    • Journal Title

      The Quarterly Journal of Mathematics

      Volume: 68 Pages: 791-815

    • DOI

      10.1093/qmath/hax002

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Journal Article] Contact of a regular surface in Euclidean 3-space with cylinders and binary differential equations2017

    • Author(s)
      Toshizumi Fukui, Masaru Hasegawa and Kouichi Nakagawa
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 69 Pages: 819-847

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Journal Article] Local differential geometry of singular curves with finite multiplicities2017

    • Author(s)
      T. Fukui
    • Journal Title

      Saitama Mathematical Journal

      Volume: 31 Pages: 79-88

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04867
  • [Journal Article] Contact of a regular surface in Euclidean 3-space with cylinders and cubic binary differential equations2017

    • Author(s)
      T. Fukui, M. Hasegawa and K. Nakagawa
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 69 Pages: 819-847

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Journal Article] Mixed Lojasiewicz exponents and log canonical thresholds of ideals2016

    • Author(s)
      Carles Bivia-Ausina and Toshizumi Fukui
    • Journal Title

      Journal of Pure and Applied Algebra

      Volume: 220 Pages: 223-245

    • DOI

      10.1016/j.jpaa.2015.06.007

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Journal Article] Curvature for curves in semi-Euclidean spaces2016

    • Author(s)
      Toshizumi Fukui and Donghe Pei
    • Journal Title

      Journal of Geometry

      Volume: 107 Pages: 663-683

    • DOI

      10.1007/s00022-015-0309-8

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Journal Article] Motivic invariants of real polynomial functions and their Newton polyhedrons2016

    • Author(s)
      Goulwen Fichou and Toshizumi Fukui
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: 160 Pages: 141-166

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Journal Article] Extensions of Koenderink's formula2016

    • Author(s)
      Toshizumi Fukui, Masaru Hasegawa and Kentaro Saji
    • Journal Title

      Journal of Gekova Geometry Topology

      Volume: 10 Pages: 42-59

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Journal Article] Fronts of weighted cones.2014

    • Author(s)
      T. Fukui and M. Hasegawa,
    • Journal Title

      Topics on Real and complex singularities, Proceeding of the fourth Austrarian-Japanese workshop on real and complex singularities.

      Pages: 31-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540067
  • [Journal Article] Fronts of weighted cones2013

    • Author(s)
      T Fukui, M. Hasegawa
    • Journal Title

      Topics on Real and Complex Singularities

      Volume: - Pages: 31-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540067
  • [Journal Article] Height functions on Whitney umbrellas,2013

    • Author(s)
      T Fukui, M. Hasegawa
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B38 Pages: 153-168

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540067
  • [Journal Article] Tame nonsmooth inverse mapping theorems2010

    • Author(s)
      Toshizumi Fukui
    • Journal Title

      SIAM J.Optim. 20巻

      Pages: 1573-1590

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Journal Article] Tame nonsmooth inverse mapping theorem2010

    • Author(s)
      福井敏純
    • Journal Title

      SIAM J.Optim. 20(3)

      Pages: 1573-1590

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540086
  • [Journal Article] Tame nonsmooth inverse mapping theorems2010

    • Author(s)
      T. Fukui, K. Kurdyka, L. Paunescu
    • Journal Title

      SIAM J.Optim. Vol. 20

      Pages: 1573-1590

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540065
  • [Journal Article] On injectivity of tame mapping2008

    • Author(s)
      T. Fukui, L. Paunescu
    • Journal Title

      数理解析研究所講究録 1610

      Pages: 29-31

    • Data Source
      KAKENHI-PROJECT-20540063
  • [Journal Article] 特異点論の入り口ご紹介2008

    • Author(s)
      福井 敏純
    • Journal Title

      数学セミナー 5

      Pages: 26-27

    • Data Source
      KAKENHI-PROJECT-20540086
  • [Journal Article] On blow-analytic equivalence2008

    • Author(s)
      T. Fukui, L. Paunescu
    • Journal Title

      Panoramas et Syntheses 24

      Pages: 87-125

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540084
  • [Journal Article] On the realisation of a map of certain class as a desingularisation map2007

    • Author(s)
      K. Bekka, T, Fukui, S. Koike
    • Journal Title

      Proceedings of the first Australian-Japanese Workshop

      Pages: 33-45

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540084
  • [Journal Article] On the realisation of a map of some class as a desingularisation map2007

    • Author(s)
      K.Bekka, T.Fukui, S.Koike
    • Journal Title

      Real and complex singularities, Proceedings of the Australian-Japanese workshop, Worlk Scientific

      Pages: 33-45

    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] On the realisation of a map of certain class as a desingularisation map2007

    • Author(s)
      K.Bekka, T.Fukui, S.Koike
    • Journal Title

      Proceedings of the first Australian-Japanese Workshop

      Pages: 33-45

    • Data Source
      KAKENHI-PROJECT-18540084
  • [Journal Article] On the realisation of a map of some class as a desingularisation map2007

    • Author(s)
      K.Bekka, T.Fukui, S.Koike
    • Journal Title

      Proceedings of the Australian-Japanese workshp

      Pages: 33-45

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Real and Complex Singularities2007

    • Author(s)
      L. Paunescu, A, Harris, T. Fukui, S. Koike
    • Journal Title

      World Scientific

      Pages: 459-459

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540084
  • [Journal Article] On the realisation of a map of certain class as a desingularisation map2007

    • Author(s)
      K, Bekka, T. Fukui, S. Koike
    • Journal Title

      Proceedings of the first Australian-Japanese Workshop

      Pages: 33-45

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540084
  • [Journal Article] On the realization of a map of some class as a desingularization map2007

    • Author(s)
      K.Bekka, T.Fukui, S.Koike
    • Journal Title

      Proceedings of the Australian-Japanese workshop World Scientific

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] 1. On the realization of a map of certain class as a desingularization map, 2. Introduction to algebraic theory of multivariate interpolation, 3. Fundamental properties of germs of analytic mappings of analytic sets and related topics, 4. Existence problem for fold maps2007

    • Author(s)
      S.Izumi, S.Koike, K.Sakuma, T.Fukui
    • Journal Title

      Real and Complex Singularities (Proceedings of the Australian-Japanese workshop)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540087
  • [Journal Article] Mapping degree and Euler characteristic2006

    • Author(s)
      T.Fukui, A.Khovanskii
    • Journal Title

      Kodai Mathematical Journal vol. 29-1

      Pages: 144-162

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540087
  • [Journal Article] Mapping degree and Euler characteristic.2006

    • Author(s)
      T.Fukui, A.Khovanski
    • Journal Title

      Kodai Math. J. 29

      Pages: 144-162

    • Data Source
      KAKENHI-PROJECT-15540007
  • [Journal Article] Mapping degree and Euler characteristic2006

    • Author(s)
      Fukui, T., Khovanskii, A.
    • Journal Title

      Kodai Math. J. 29

      Pages: 144-162

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540087
  • [Journal Article] Mapping degree and Euler characteristic2006

    • Author(s)
      T.Fukui, A.Khovanskii
    • Journal Title

      Kodai Math.J. 29

      Pages: 144-162

    • Data Source
      KAKENHI-PROJECT-15540007
  • [Journal Article] Mapping degree and Euler characteristic2006

    • Author(s)
      T.Fukui, A.Khovanskii
    • Journal Title

      Kodai Math. J. 29

      Pages: 144-162

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540007
  • [Journal Article] Mapping degree and Euler characteristic2006

    • Author(s)
      T.Fukui, A.Khovanskii
    • Journal Title

      Kodai Mathematical Journal 29

      Pages: 144-162

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Mapping degree and Euler characteristic2006

    • Author(s)
      T.Fukui, A.Khovanskii
    • Journal Title

      Kodai Math.J. 29

      Pages: 144-162

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Isolated roundings and flattennings of submanifolds in Euclidean space2006

    • Author(s)
      T.Fukui, J.Nuno Ballesteros
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Data Source
      KAKENHI-PROJECT-18540084
  • [Journal Article] Mapping degree and Euler characteristic2006

    • Author(s)
      T.Fukui, A.Khovanskii
    • Journal Title

      Kodai Mathematical Journal 29

      Pages: 144-162

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540071
  • [Journal Article] Mapping degree and Euler characteristic2006

    • Author(s)
      Fukui, T, Khovanskii, A
    • Journal Title

      Kodai Math.J. 29

      Pages: 144-162

    • Data Source
      KAKENHI-PROJECT-16540087
  • [Journal Article] Mapping degree and Euler characteristic2006

    • Author(s)
      T.Fukui, A.Khovanskii
    • Journal Title

      Kodai Mathematical Journal 29

      Pages: 144-162

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Mapping degree and Euler characteristic.2006

    • Author(s)
      T.Fukui., A.Khovanskii
    • Journal Title

      Kodai Math. J. 29

      Pages: 144-162

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540007
  • [Journal Article] An inverse mapping theorem for arc-analytic homeomorphism2005

    • Author(s)
      T.Fukui, K.Kurdyka, L.Paunescu
    • Journal Title

      Geometric Singularity Theory(eds.Heisuke Huronaka, Stanislaw Janeczko, Stanislaw Lojasiewicz)(Banach Center Publications) 65

      Pages: 49-56

    • Data Source
      KAKENHI-PROJECT-15540007
  • [Journal Article] Isolated roundings and flttennings of submanifolds in euclidean space.2005

    • Author(s)
      T.Fukui, J.Nuno Ballesteros
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Isolated roundings and flattennings of submanifolds in euclidean space2005

    • Author(s)
      T.Fukui, J.Nuno Ballesteros
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Data Source
      KAKENHI-PROJECT-15540007
  • [Journal Article] Isolated voundings and flatternnings of submanifolds in eudidean space2005

    • Author(s)
      T.Fukui, N.Ballesteros
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540071
  • [Journal Article] Isolated roundings and flattenings of submanifolds in Eucledean spaces2005

    • Author(s)
      T.Fukui, J.J.Nuno-Ballesteros
    • Journal Title

      Tohoku Mathematical Journal vol. 57

      Pages: 469-503

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540087
  • [Journal Article] Isolated roundings and flattenings of submanifolds in euclidean space2005

    • Author(s)
      T.Fukui, J.Nu no Baresteros
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Data Source
      KAKENHI-PROJECT-16540087
  • [Journal Article] Ballesteros, Isolated roundings and flattennings of submanifolds in Euclidean space2005

    • Author(s)
      T.Fukui, J.Nuno
    • Journal Title

      Tohoku Math.J. 57

      Pages: 469-503

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Isolated roundings and flattennings of submanifolds in euclidean space2005

    • Author(s)
      T.Fukui, J.Nuno Bellesteros
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Isolated rounding and flattening of submanifolds in Euclidean space2005

    • Author(s)
      T.Fukui, J.Nuno Ballesteros
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Isolated roardings and flattennings of submanifolds in euclidean space2005

    • Author(s)
      T.Fukui, N.Ballesteras
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540071
  • [Journal Article] Isolated roundings and flattennings of submanifolds in euclidean space2005

    • Author(s)
      T.Fukui, J.Nuno Ballesteros
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Isolated roundings and flattennings of submanifolds in euclidean space2005

    • Author(s)
      T.Fukui, J.Nuno Ballesteros
    • Journal Title

      Tohoku Mathematical Journal 57

      Pages: 469-503

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] An inverse mapping theorem for arc-analytic homeomorphism2004

    • Author(s)
      T.Fukui K.~Kurdyka, L.~Paunescu
    • Journal Title

      Banach center Publications 65

      Pages: 49-56

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] An inverse mapping theorem for arc-analytic homeomorphisms2004

    • Author(s)
      T.Fukui, K.Kurdyka, L.Paunescu
    • Journal Title

      Banach Center Publ. 65

      Pages: 49-56

    • Data Source
      KAKENHI-PROJECT-16540087
  • [Journal Article] An inverse mapping theorem for arc-analytic homeomorphism2004

    • Author(s)
      T.Fukui, K.Kurdyka, L.Paunescu
    • Journal Title

      Banach Center Publications 65

      Pages: 49-56

    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] An inverse mapping theorem for arc-analytic homeomorphisms2004

    • Author(s)
      T.Fukui, K.Kurdyka, L.Pauuescu
    • Journal Title

      Banach Center Publications 65

      Pages: 49-56

    • Data Source
      KAKENHI-PROJECT-15540071
  • [Journal Article] An inverse mapping theorem for arc-analytic homeomophism.2004

    • Author(s)
      T.Fukui, K.Kurdyka, L.Paunescu
    • Journal Title

      Banach Center Publications 65

      Pages: 49-56

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] An inverse mapping theorem for arc-analytic homeomorphism2004

    • Author(s)
      T.Fukui, K.Kurdyka, L.Paunescu
    • Journal Title

      Geometric Singularity Theory(eds.Heisuke Hironaka, Stanis-law Janeczko, Stanislaw Lojasiewicz), Banach Center Publications 65

      Pages: 49-56

    • Data Source
      KAKENHI-PROJECT-15540060
  • [Journal Article] Cohen-Macaulay properties of Thom-Boardman strata II : The difining ideals of $Sigma^{i, j}$.2003

    • Author(s)
      T.Fukui, J.Weyman
    • Journal Title

      Proceedings of London Mathematical Society 87

      Pages: 137-163

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Cohen-Macauley properties of Thom-Boardman strata II2003

    • Author(s)
      T.Fukui, J.Weyman
    • Journal Title

      Proceeding of the London Mathematical Society 87

      Pages: 137-163

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540071
  • [Journal Article] Cohen-Macauley properties of Thom-Boardman strata II.2003

    • Author(s)
      T.Fukui, J.Weyman
    • Journal Title

      Proceedings of the London Mathematical Society 87

      Pages: 137-163

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540071
  • [Journal Article] Cohen-Macaulay properties of Thom-Boardman strata ll : The defining ideals of $Sigma^{i,j}$2003

    • Author(s)
      T.Fukui, J.Weyman
    • Journal Title

      Proceedings of London Mathematical Society 87

      Pages: 137-163

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] On blow-analytic equivalence

    • Author(s)
      T.Fukui, L.Paunescu
    • Journal Title

      Gcometrie algebriquc et analytique reelle et I'integration motivique, Panoramas et Syntheses, French Math-ematical society (印刷中)(to appear)

    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] Mapping degree and Euler characteristic

    • Author(s)
      T.Fukui, A.Khovanskii
    • Journal Title

      Kodai mathematical Journal to appear

    • Data Source
      KAKENHI-PROJECT-16540087
  • [Journal Article] On blow-analytic equivalence

    • Author(s)
      T.Fukui, L.Paunescu
    • Journal Title

      Panoramas et Syntheses, French Mathematical Society (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] On blow-analytic equivalence

    • Author(s)
      T.Fukui, L.Paunescu
    • Journal Title

      Tp appear in Panoramas et Syntheses

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340017
  • [Journal Article] On the Lojasiewicz exponent and Newton polyhedron

    • Author(s)
      T.Fukui
    • Journal Title

      Kodai Math.J. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540062
  • [Journal Article] On Lojasiewicz exponent and Newton polyhedron

    • Author(s)
      T.Fukui
    • Journal Title

      Kodai Math.J. (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540062
  • [Presentation] On bifurcation model for several nonlinear problems2019

    • Author(s)
      Toshizumi Fukui
    • Organizer
      Real and complex singularities in Cargese
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03486
  • [Presentation] 尖点と燕尾の局所微分幾何2019

    • Author(s)
      福井敏純
    • Organizer
      第26回 沼津改め 静岡研究会 - 幾何、数理物理、そして量子論 -
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] Local differential geometry of cuspidal edge and swallowtail2019

    • Author(s)
      Toshizumi Fukui
    • Organizer
      6th International work- shop on Singularities in generic geometry and its application, University of Valencia,
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03486
  • [Presentation] On change of variables formula2018

    • Author(s)
      福井敏純
    • Organizer
      第7回神戸特異点研究会
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] On bifurcation of Euler beam problem2018

    • Author(s)
      Toshizumi Fukui
    • Organizer
      The 6th Franco-Japanese-Vietnamese Symposium on Singularities
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] Local differential geometry of cuspidaledge and swallowtai2018

    • Author(s)
      福井敏純
    • Organizer
      可微分写像の特異点論の局所的研究と大域的研究
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04867
  • [Presentation] Variations of fundamental theorem of curves2018

    • Author(s)
      福井敏純
    • Organizer
      東京学芸大学小研究集会「幾何学と特異点 2018」
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] Revisit Euler buckling problem2018

    • Author(s)
      Toshizumi Fukui
    • Organizer
      Real Algebraic Geometry and Singularity Theory Symposium
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] Local differential geometry of cuspidal edge and swallowtail2017

    • Author(s)
      福井敏純
    • Organizer
      RIMS共同研究(公開型)「可微分写像の特異点論の局所的研究と大域的研究」
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] Arc spaces, motivic measure and Lipschitz property on real algebraic varieties2017

    • Author(s)
      Toshizumi Fukui
    • Organizer
      Japanese-Australian Workshop on Real and Complex Singularities, Sydney 2017
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] Lipschitz property of Nash maps2016

    • Author(s)
      福井敏純
    • Organizer
      The 4th Franco-Japanese-Vietnamese Singularities
    • Place of Presentation
      Chambery, France
    • Year and Date
      2016-11-07
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] Lipschitz property for arc-analytic map2015

    • Author(s)
      Toshizumi Fukui
    • Organizer
      International Symposium "Real Singularities and Applications"
    • Place of Presentation
      CIRM, Luminy, France
    • Year and Date
      2015-02-17
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] Contact of a surface with cylinders and cubic binary differential equations2014

    • Author(s)
      Toshizumi Fukui
    • Organizer
      13th International Workshop on Real and Complex Singularities
    • Place of Presentation
      Universidade de Sao Paulo, Brazil
    • Year and Date
      2014-08-04
    • Data Source
      KAKENHI-PROJECT-26287011
  • [Presentation] Front of Whitney umbrella2012

    • Author(s)
      Toshizum Fukui
    • Organizer
      12 th International workshop of real and complex singularities
    • Place of Presentation
      サンパウロ大学サンカルロス校
    • Data Source
      KAKENHI-PROJECT-24540067
  • [Presentation] 関数の特異点の判定とその微分幾何への応用2008

    • Author(s)
      福井 敏純
    • Organizer
      応用特異点論の現状と展望
    • Place of Presentation
      北海道大学数学連携研究センター
    • Year and Date
      2008-03-17
    • Data Source
      KAKENHI-PROJECT-20540086
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