FUKUI Toshizumi 福井敏純

… Alternative Names

Researcher Number	90218892
External Links
Affiliation (Current)	2019: 埼玉大学, 理工学研究科, 教授
Affiliation (based on the past Project Information) *help	2012 – 2019: 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
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 / Cohen-Macaulay環 / Cohen-Macaulay性 / Thom-Boardman多様体 / 写像の特異点 / 安定摂動 / 写像度 / Thom-Boardman特異点 … More Except Principal Investigator Fukui invariant / 特異点 / 特異点解消 / 福井不変量 / ブローナッシュ自明性 / ブロー半代数的自明性 / 平面曲線 / Schouten bracket / 粘性解 / 点列選択性性質 / ブロー解析性 / 特異点論 / Poisson manifold / リプシッツ同値 / ブロー解析同値 / 定義可能集合 / 解析的準楕円性 / Whitney's extension problem / 断熱展開 / 層化理論 / 比較定理 / 漸近展開 / 特異葉層構造 / Spin / contact structure / 微分トポロジー / Lie algebroid / leaf invariant / 巡回被覆 / singularity / 擬微分作用素 / blow-analytic equivalence / generalized divergence / Bellman方程式 / 幾何学 / 有理関数 / ゼータ関数 / 実ツリーモデル / plane curve / クレモナ変換 / 特性類 / Poisson cohomology / symplectic foliation / Blow-Nash triviality / 実代数幾何学 / 平坦性 / トーリック特異点解消 / CR多様体 / リプシッツ不変量 / paratangent bundle / 有理尖点曲線 / イソトピー補題 / 福井の不変量 / almost Dirac structure / Leibniz algebra / Dirac structure / interpolation / ナッシュ近似定理 / ツリーモデル / モチーフ型不変量 / Leibniz cohomology / 位数 / Symplectic characteristic / smooth function / ゴナリティ / multiplicity sequence / singular variety / 局所コホモロジー / Cohen-Macaulayfication / 積分可能性 / resolution of singularity / A'Campo 曲率隆起（オーストラリア） / 特異性類 / cascade equivalence / テイラー展開 / 代数曲面 / 接触構造 / スペンサーコホモロジー / 対数的小平次元 / Nambu-Jacobi多様体 / ニュートン境界 / Optimal control / Lipschitz equivalence / CR-多様体 / 接触リーマン多様体 / 局所可解性 / 有理曲線 / 尖点 / ボアソン幾何学 / twistor space / ディラック構造 / Nambu-Possin多様体 / ナッシュ曲面 / スカウテン・ブラケット / 零評価 / gonality / order of functions / 重複度列 / Lojasiewicz不等式 / 自己同型群 / stratified set / Weyl接続 / 埋め込み / ジーゲルモジュラ形式 / 映像理論 / 変曲点 / ネタリアン関数 / Poisson多様体 / Lie亜代数 / toric modification / G構造 / Seifert form / アイザックス方程式 / コーエン・マコーレー化 / パフ系 / オルタレーション / 断熱変換 / 半代数的同値 / 接触変換 / 代数学 / 超局所解析 / b-関数 / 実多項式写像芽 / セキュリティー / ディラック作用素 / Prehomogenous / 第二基本テンソル / ワイエルシュトラス点 / ポアソン構造 / 重複度 / algebra / Hamilton-Jacobi-Bellman equation / singular foliation / 点列選択性条件 / ラプラス作用素 / 実閉体 / 一様楕円型方程式 / complexity / トム多項式 / order / 最小特異点解消 / 多項式写像芽 / state constraint / 環と体 / 分岐点 / SSP 幾何学(オーストラリア） / C^1同値 / Le numbers / 保型形式 / スタンダード基底 / ミルナー半経一様性 / motivic-type invariant / 外微分形式系 / フランス:ドイツ:ベトナム:ブラジル / 中心拡大 / 退化楕円型方程式 / multi-vector field / Nambu-Poisson多様体 / 接触多様体 / 四元数スピン / singular foilation / Dirac operator / トウィスター空間 / motivic zeta function / 微分ゲーム / geometry / 同程度特異性 / 包合系 / 代数曲線 / zero-estimate / chiral anomaly / degenerate elliptic equation / トウィスター / モデル理論 / 相対ジェットの十分性 / 南部・ヤコビブラケット / モチビック不変量 / D-加群 / 分散性波動 / アルゴリズム / ポアソン多様体 / Fundamental Identity / A'Campo 曲率隆起(オーストラリア） / 微分幾何 / ウェッブ構造 / ブリアンソン・スピダー族 / Kohn-Rossi Laplacian / 構造安定性 / 微分位相幾何学 / 分布 / 配置空間 / 特異多様体 / 同程度特異性問題 / ミルナ-数 / 高階接空間 / スピン / 特異ファイバー / モジュラ形式 / Spin^q / flatness / Comparison theorem / blow-semialeebraic triviality / Blow-semialgebraic triviality / オイラー・ラグランジュ方程式 / カスケード同値 / 動的計画原理 / 代数幾何 / Tanno接続 / 複素解析 / ホロノミーD-加群 / 曲率集中化問題（オーストラリア、フランス） / blow-analitici / Viscosity solution / 延長 / モティヴィック・ゼータ関数 / Microlocal analysis / differential game / quadratic transformation / tree model / ＳＳＰ幾何学（オーストラリア） / flatness of a differentiable functions / kissing dimension / rational curve / viscosity solutions / 半整数9重さ9モジュラ形式 / central extension / Nambu-Poisson manifold / リプシッツ同程度特異性 / Spallekの定理 / 共通接線方向次元 / 数学基礎論 / ディラック / トーソック特異点解消 / ハルナックの不等式 / Tanaka-Webster接続 / Zeta function / 直線バンドル / Whitneyの問題 / 半代数的写像 / 曲率集中化問題（オーストラリア） / 葉層構造 / 最大値原理 / カイラルギャップ / C^r同値 / CR部分多様体 / cuspidal curve / 代数解析 / maximal multiplicity / Isaacs equation / シュパレクの定理 / 最適制御問題 / SSP 幾何学（オーストラリア） / 対数的ベクトル場 / 横断的 / 半連続粘性解 / ヤコビ多様体 / Heisenberg群 / ハミルトン・ヤコビ方程式 / モディファイド・ナッシュ自明性 / 位相モジュライ / Hirsch foliation / データ可視化 / Dispersion wave / カイラル / Whitney条件(a) / ブロー解析的同値 / 総ミルナー数 / Cremona transformation / 特異Lefschetz束 / 2次変換 / Nash approximation theorem / オーミニマル構造 / 国際研究者交流 / ポアソン・ブラケット / 微分幾何学 / はめ込み / Dirac manifold / 半整数の重さのモジュラ形式 / sea-tangle neighborhood / integral number / 有理関数体 / ベルアン方程式 / toric desingularization / optimal control / modified Nash triviality / トーリック改変 / Rlow-Nash triviality / blow-analyticity / 包合性 / 可微分写像 / 南部多様体 / 半連続性解 / ザイフェルト形式 / 代数的特異点 / Noetherian function / Asymptotic expantion / 曲率集中化問題 / 断熱 / 曲率集中化 / isotopy lemma / 多変数補間法 / 昆布状近傍 / 初等関数表示 / セクスタクティック点 / 複雑性 / 実特異点 / Spallek function / 付値 / 層化集合 / 変形 / projective equivalence / 有限群 / 描板 / Kaehler多様体 / デジタル署名 / Kohn-Rossi Lalacian / 熱核 / Isotopy Lemma / モティヴィック積分 / 函数の位数 / Riemann-Roch / 同境 / 半代数的集合 / 同境群 / mathematical logic / A'Campo 曲率隆起 / ヤュビ形式 / 球面 / 局所環 / フランス:ドイツ:ブラジル / 概均質ベクトル空間 / Pfaff system / 多重ベクトル場 / 半直線-(SSP)条件 / dynamic programming / C^r級関数 / Hermite補間法 / 順序極小構造 / b関数 / 最適制御 / 不変量 / スーパートレース / ヤコビ形式 / Real singularities / 微分可能函数の平坦性 / Taylor expansion / ブラジル：フランス / モンジュ・アンペール方程式 / 特異点消去 / CR-Weyl接続 / 実超曲面 / 完全非線形方程式 / 解析学 / place at infinity / リーマン・ロッホ / 田中-Webster接続 / 例外集合 / 双対曲線 / 最適制御理論 / カイラルアノマリー / minimal resolution / Lipschitz equisingularity Less

How is singularity theory applied to mathematics such as surface theoryPrincipal InvestigatorOngoing
- Principal Investigator
  
  福井敏純
- Project Period (FY)
  2019 – 2021
- 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 singularitiesOngoing
- Principal Investigator
  
  小池敏司
- 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
- 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
- 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 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
- Int'l Joint Research / Peer Reviewed
- 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
- Open Access / Int'l Joint Research / Peer Reviewed
- 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
- Open Access / Int'l Joint Research / Peer Reviewed
- 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
- Int'l Joint Research / Peer Reviewed
- 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
- Open Access / Peer Reviewed
- 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 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] 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] 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

1. SAKAI Fumio (40036596)

# of Collaborated Projects: 13 results

# of Collaborated Products: 0 results
2. KOIKE Satoshi (60161832)

# of Collaborated Projects: 12 results

# of Collaborated Products: 18 results
3. MIZUTANI Tadayoshi (20080492)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
4. SAKAMATO Kunio (70089829)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
5. NAGASE Masayoshi (30175509)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
6. SHIOTA Masahiro (00027385)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
7. KOIKE Shigeaki (90205295)

# of Collaborated Projects: 7 results

# of Collaborated Products: 3 results
8. IZUMI Shuzo (80025410)

# of Collaborated Projects: 6 results

# of Collaborated Products: 3 results
9. EBIHARA Madoka (80213578)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
10. OKUMURA Masafumi (60016053)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
11. SHIMOKAWA Koya (60312633)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
12. YANO Tamaki (10111410)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
13. SAKURAI Tsutomu (40187084)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
14. SATOH Takakazu (70215797)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
15. KOJIMA Hisashi (90146118)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
16. TAKAUCHI Kisao (00011560)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
17. ISHIKAWA Goo (50176161)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
18. OHMOTO Toru (20264400)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
19. EGASHIRA Shinji (00261876)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
20. SAKUMA Kazuhiro (80270362)

# of Collaborated Projects: 3 results

# of Collaborated Products: 3 results
21. TSUJIOKA Kunio (30012412)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. NAGASAWA Takeyoki (70202223)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. YOKURA Shoji (60182680)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
24. NAGAOKA Shoyu (20164402)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
25. OHTA Masahito (00291394)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. TONO Keita (30422215)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. NII Shunsaku (50282421)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. ISHII Hitoshi (70102887)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. KURANO Kazuhiko (90205188)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. OKA Mutsuo (40011697)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. TREAO Hiroaki (90119058)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. AOKI Takashi (80159285)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. YASUMOTO Masahiro (10144114)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. Tajima Shinichi (70155076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. Oaku Toshinori (60152039)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. Shibuta Takafumi (40648200)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. Umeta Yoko (90606386)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. SAEKI OSAMU (30201510)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. IWASE Norio (60213287)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. KAMADA Seiichi (60254380)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. ISHIKAWA Masaharu (10361784)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. YAMAMOTO Minoru (40435475)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. TAKASE Masamichi (30447718)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. ASHIKAGA Tadashi (90125203)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
45. KATANAGA Atsuko (20373128)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
46. KOBAYASHI Mahito (10261645)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
47. YAMAMOTO Takahiro (60435972)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
48. TAKEUCHI Kiyoshi (70281160)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
49. TAKATA Toshie (40253398)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
50. 柳井久江 (10008865)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
51. 泉屋周一 (80127422)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
52. 佐野貴志 (60326543)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
53. 田邊晉 (90432997)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
54. 植田一石 (60432465)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
55. GON Yasuro (30302508)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
56. ARAI Michio (40008850)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
57. 淺井常信 (70257963)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. 岸本崇 (20372576)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. 山崎晋 (00349953)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. 鍋島克輔 (00572629)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

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

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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 global properties of algebraic singularitiesOngoing

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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