FUKUI Toshizumi 福井敏純

… Alternative Names

福井純フクイトシズミ

福井敏純フクイトシスミ

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Researcher Number	90218892
External Links
Affiliation (Current)	2025: 埼玉大学, 理工学研究科, 名誉教授
Affiliation (based on the past Project Information) *help	2012 – 2024: 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 2006 – 2008: Saitama University, Department of Mathematics, Professor, 理工学研究科, 教授 … More 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 / Basic analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 特異点 / 特異点論 / 特異曲面 / 写像度 / ブロー解析的写像 / Cohen-Macaulay性 / Thom-Boardman多様体 / 写像の特異点 / Cohen-Macaulay環 / Thom-Boardman特異点 … More / 安定摂動 / 非固有点軌跡 / ホイットニーの傘 / 曲面 / 特異点理論 / umblics and line of curvature / jet sapce / classical differential geometry / Cohen-Macaulay property / pertuabtion / Thom-Boardman set / Singularity of Map / ゼータ関数 / 実解析関数の特異点 / Sardの定理 / Lipshitz性 / 幾何学的方法 / 自由分解 / Lipschitz性 / ブロー解析写像 / 劣解析写像 / オイラー数 / 指数 / 臍点と曲率線 / ジェット空間 / 古典微分幾何 / コーエン=マコーレイ性 / 摂動 / トム=ボードマン集合 / Newton filtration / modified analytic trivialization / blow-analytic map / Representation of general linear group / Cohen-Macaaulay property / Thom-Boardman manifolds / Singularities of maps / 改変後解析性 / 曲面の臍点 / ニュートンフィルトレーション / 改変後自明性 / 一般線形群の表現 / 国際研究者交流 / 高さ関数 / 距離2乗関数 / toric modification / Newton図形 / トーリック多様体 / modified analytic / toric modefication / 重み付き斉次多項式 / modefied analytic … More Except Principal Investigator Fukui invariant / 特異点 / 特異点解消 / 福井不変量 / ブロー半代数的自明性 / ブローナッシュ自明性 / 平面曲線 / ブロー解析性 / Schouten bracket / Poisson manifold / 点列選択性性質 / リプシッツ同値 / ブロー解析同値 / 特異点論 / 粘性解 / interpolation / Whitney's extension problem / smooth function / paratangent bundle / Dirac structure / almost Dirac structure / Lie algebroid / blow-analytic equivalence / Blow-Nash triviality / モチーフ型不変量 / 特異葉層構造 / Leibniz cohomology / Leibniz algebra / 平坦性 / トーリック特異点解消 / イソトピー補題 / ナッシュ近似定理 / 福井の不変量 / 位数 / 比較定理 / Spin / leaf invariant / symplectic foliation / generalized divergence / Poisson cohomology / contact structure / plane curve / 有理関数 / クレモナ変換 / singularity / リプシッツ不変量 / 実代数幾何学 / ツリーモデル / 幾何学 / 層化理論 / 定義可能集合 / 実ツリーモデル / 漸近展開 / 断熱展開 / ゴナリティ / 微分トポロジー / ゼータ関数 / 特性類 / 巡回被覆 / 有理尖点曲線 / Bellman方程式 / CR多様体 / 解析的準楕円性 / 擬微分作用素 / Symplectic characteristic / フランス:ドイツ:ベトナム:ブラジル / フランス:ドイツ:ブラジル / 特異Lefschetz束 / 不変量 / 特異性類 / 同境 / ブラジル：フランス / 国際研究者交流 / 配置空間 / 実多項式写像芽 / 構造安定性 / 可微分写像 / データ可視化 / 同境群 / 特異ファイバー / はめ込み / 埋め込み / 特異点消去 / 多項式写像芽 / 対数的ベクトル場 / b-関数 / Le numbers / ホロノミーD-加群 / integral number / スタンダード基底 / 局所コホモロジー / D-加群 / アルゴリズム / 代数解析 / 複素解析 / Lipschitz equivalence / blow-semialeebraic triviality / cascade equivalence / minimal resolution / tree model / blow-analitici / Rlow-Nash triviality / カスケード同値 / 最小特異点解消 / algebra / mathematical logic / geometry / 順序極小構造 / 半代数的集合 / モデル理論 / 代数学 / 数学基礎論 / Hermite補間法 / C^r級関数 / 多変数補間法 / Whitneyの問題 / 高階接空間 / kissing dimension / sea-tangle neighborhood / Seifert form / Lipschitz equisingularity / motivic zeta function / モティヴィック積分 / ニュートン境界 / 共通接線方向次元 / 昆布状近傍 / ザイフェルト形式 / リプシッツ同程度特異性 / モティヴィック・ゼータ関数 / singular foliation / multi-vector field / ディラック構造 / 多重ベクトル場 / スカウテン・ブラケット / Poisson多様体 / Cremona transformation / gonality / 対数的小平次元 / Dirac operator / chiral anomaly / twistor space / Spin^q / 断熱変換 / カイラル / カイラルギャップ / スーパートレース / 断熱 / トウィスター / ディラック / ディラック作用素 / カイラルアノマリー / トウィスター空間 / 四元数スピン / スピン / toric modification / Isotopy Lemma / stratified set / motivic-type invariant / Blow-semialgebraic triviality / ブリアンソン・スピダー族 / トーリック改変 / ブロー解析的同値 / 層化集合 / flatness of a differentiable functions / Taylor expansion / Spallek function / order of functions / 例外集合 / 付値 / シュパレクの定理 / 微分可能函数の平坦性 / テイラー展開 / Spallekの定理 / 函数の位数 / Comparison theorem / Real singularities / Optimal control / Viscosity solution / Asymptotic expantion / Dispersion wave / Microlocal analysis / 実特異点 / 最適制御理論 / 分散性波動 / 超局所解析 / Pfaff system / singular foilation / central extension / Nambu-Poisson manifold / 南部・ヤコビブラケット / ポアソン・ブラケット / 南部多様体 / Fundamental Identity / 葉層構造 / Nambu-Jacobi多様体 / ヤコビ多様体 / ポアソン多様体 / Nambu-Poisson多様体 / パフ系 / 中心拡大 / Nambu-Possin多様体 / complexity / flatness / toric desingularization / isotopy lemma / Nash approximation theorem / blow-analyticity / modified Nash triviality / トーソック特異点解消 / 複雑性 / モディファイド・ナッシュ自明性 / Noetherian function / order / zero-estimate / 局所環 / ネタリアン関数 / 零評価 / singular variety / Cohen-Macaulayfication / Riemann-Roch / resolution of singularity / オルタレーション / 特異多様体 / コーエン・マコーレー化 / リーマン・ロッホ / Isaacs equation / Hamilton-Jacobi-Bellman equation / dynamic programming / state constraint / differential game / optimal control / degenerate elliptic equation / viscosity solutions / 半連続性解 / アイザックス方程式 / ハミルトン・ヤコビ方程式 / 動的計画原理 / 微分ゲーム / 半連続粘性解 / 最大値原理 / ハルナックの不等式 / 完全非線形方程式 / 最適制御 / 一様楕円型方程式 / 退化楕円型方程式 / Dirac manifold / Hirsch foliation / maximal multiplicity / projective equivalence / place at infinity / quadratic transformation / multiplicity sequence / cuspidal curve / rational curve / 変形 / 代数曲面 / 重複度 / 環と体 / 重複度列 / 2次変換 / 尖点 / 有理曲線 / 総ミルナー数 / Prehomogenous / Zeta function / ベルアン方程式 / CR部分多様体 / セキュリティー / ミルナ-数 / デジタル署名 / b関数 / 概均質ベクトル空間 / 半代数的写像 / 微分位相幾何学 / 位相モジュライ / 同程度特異性問題 / ナッシュ構造安定性 / 半代数的自明性 / ナッシュ多様体 / 代数的特異点 / 相対ジェットの十分性 / ナッシュ構造安定 / 接方向的横断性 / 同程度特異性 / 半代数的同値 / ナッシュ曲面 / ＳＳＰ幾何学（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） / A'Campo 曲率隆起（オーストラリア） / SSP 幾何学（オーストラリア） / 曲率集中化問題（オーストラリア） / A'Campo 曲率隆起(オーストラリア） / SSP 幾何学(オーストラリア） / 曲率集中化 / A'Campo 曲率隆起 / 解析学 / Whitney条件(a) / ミルナー半経一様性 / Lojasiewicz不等式 / 実閉体 / オーミニマル構造 / 点列選択性条件 / C^r同値 / 曲率集中化問題 / 半直線-(SSP)条件 / C^1同値 / 初等関数表示 / ラプラス作用素 / 球面 / Tanno接続 / Tanaka-Webster接続 / Kohn-Rossi Laplacian / Heisenberg群 / CR-多様体 / Kohn-Rossi Lalacian / 接触リーマン多様体 / 熱核 / 有理関数体 / 代数曲線 / 変曲点 / セクスタクティック点 / 自己同型群 / 分岐点 / ワイエルシュトラス点 / 代数幾何 / モンジュ・アンペール方程式 / 接触構造 / オイラー・ラグランジュ方程式 / 包合系 / ボアソン幾何学 / Lie亜代数 / 接触多様体 / 描板 / スペンサーコホモロジー / ウェッブ構造 / 延長 / 接触変換 / G構造 / 外微分形式系 / 包合性 / 積分可能性 / ポアソン構造 / 第二基本テンソル / 横断的 / Weyl接続 / 分布 / Kaehler多様体 / 直線バンドル / 田中-Webster接続 / 実超曲面 / CR-Weyl接続 / 微分幾何 / 有限群 / 半整数9重さ9モジュラ形式 / ヤュビ形式 / ヤコビ形式 / ジーゲルモジュラ形式 / 半整数の重さのモジュラ形式 / モジュラ形式 / 保型形式 / 映像理論 / 微分幾何学 / モチビック不変量 / トム多項式 / 双対曲線 / 最適制御問題 / 局所可解性 Less

New development of Newton's method in singularity theoryPrincipal 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
  
  Fukui Toshizumi
- 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

[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] Convexity of space-like projections of submanifolds with co-dimension2 in Lorentz-Minkowski space2025
- Author(s)
  Fukui Toshizumi、Honda Atsufumi、Umehara Masaaki
- Journal Title
  
  Comptes Rendus Mathematique
  
  Volume: 363 Issue: G1 Pages: 109-113
- DOI
  10.5802/crmath.704
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K20794, KAKENHI-PROJECT-23K03106, KAKENHI-PROJECT-24K06709
[Journal Article] Properness of Polynomial Maps with Newton Polyhedra2022
- Author(s)
  Fukui Toshizumi, Tsuchiya Takeki
- Journal Title
  
  Arnold Mathematical Journal
  
  Volume: 0 Issue: 2 Pages: 0-0
- DOI
  10.1007/s40598-022-00205-2
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03486
[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: - Issue: 1-2 Pages: 211-251
- 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 Issue: 3 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 Issue: 1 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 Issue: 3 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] A bifurcation model for nonlinear equations2022
- Author(s)
  Toshizumi Fukui
- Organizer
  Classification problems in singularity theory and their applications RIMS-Sing 4 Workshop
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03486
[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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FUKUI Toshizumi 福井 敏純

福井 純 フクイ トシズミ

福井 敏純 フクイ トシスミ

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New development of Newton's method in singularity theoryPrincipal Investigator

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How is singularity theory applied to mathematics such as surface theoryPrincipal Investigator

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Research on surfaces and related differential equations from the view point of singularity theoryPrincipal Investigator

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Research on surface from singular view pointPrincipal Investigator

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FUKUI Toshizumi 福井敏純

福井純フクイトシズミ

福井敏純フクイトシスミ