OKA Mutsuo 岡睦雄

… Alternative Names

Researcher Number	40011697
Affiliation (Current)	2019: 東京理科大学, 理学部第一部数学科, 教授
Affiliation (based on the past Project Information) *help	2016 – 2018: 東京理科大学, 理学部第一部数学科, 教授 2016: 東京理科大学, 理学部, 嘱託教授 2005 – 2015: Tokyo University of Science, Faculty of Science, Professor, 理学部, 教授 2011: 東京理科大学, 理学部 2010: 東京理科大学, 東京理科大学理学部, 教授 … More
Review Section/Research Field	Principal Investigator Geometry / Geometry / 代数学・幾何学 / Algebra Except Principal Investigator Geometry / Algebra / 代数学・幾何学 / 解析学 / Geometry / Algebra
Keywords	Principal Investigator 基本群 / ミルナー束 / 特異点 / 混合特異点 / 極擬斉次多項式 / Alexander多項式 / 混合多項式 / レンズ方程式 / ザリスキー対 / Zariski対 … More Except Principal Investigator 特異点 / 基本群 / 特異多様体 / 超平面配置 / 特性類の局所化 / 留数 / モジュライ空間 / Zariski pair / 鏡映群 / reflection group / 代数多様体 / 葉層構造 / ベクトル束 / 交叉理論 / K3曲面 / トポロジー / 偏極多様体 / 随伴直線束 / 力学系 / 特異点解消 / 多様体 / 特性類 / 連接層 / Chern類 / Alexander多項式 / 6次曲線 / Galois被覆 / 結び目理論 / 結び目 / singular varieties / 超幾何積分 / 局所系コホモロジー / hyperplane arrangement / local system cohomology / エネルギー / 格子 / lattices / Uniformization / K3 surface / スペクトル / singularity / シンプレクティック多様体 / CR構造 / 対数多様体(log variety) / 平方剰余グラフ / 超幾何関数 / ゼータ関数 / 極小モデル理論 / 調和写像 / splitting curve / Mordell-Weil群 / 超特異K3曲面 / 超特異性 / 分岐被覆 / 有理2重点 / 複素解析幾何 / 幾何学 / 複素解析幾何学 / 楕円曲面 / MODULI SPACE / 変換群 / 特異葉層構造 / hypergeometric integral / topology / knot / energy / localization of characteristic classes / Galois cover / フロベニウス多様体 / ブレイド群 / semi-algebraic geometry / エータ関数 / 原始形式 / 無限次元リー環 / 局所Euler障害 / 複素葉層構造 / 複素力学系 / Chern classes / 共形幾何学 / conformal geometry / plane curve / supersingularity / rational double point / fundamental group / dual variety / 領域摂動 / ランダム媒質 / グリ-ン関数 / 射影多様体 / デルペッツォ多様体 / 豊富ベクトル束 / 完全交叉特異点 / 正規特異点 / デルペッツオ多様体 / ケ-ラ-・アインシュタイン計量 / ファインマン経路積分 / キャッソン不変量 / ビリヤ-ド問題 / Mapping class group / Casson inuarianV / Torolli group / moduli cpale / algobraic surface / Feynmann intcgral / Futaki inuarianV / 汎関数微分 / Hopf方程式 / Feynman積分 / 鞍部点法 / BGK模型 / superanalysis / 非線型Schrodinger方程式 / concentration compactness / アフィン構造 / コンタクト多様体 / Godbillon-Vey不変量 / 射影構造 / スカラー曲率 / Ricci flat Kahler多様体 / Spin(7)ホロノミー / 偏極多様体(polarized manifold) / 随伴直線束(adjoint burdle) / ザリスキー分解(Zariski decomposition) / 小平エネルギー(Kodaira energy) / 小平スペクトル(Kodaira spectrum) / ファイブレイション(fibration) / ファノ多様体(Fano variety) / Casson不変量 / 多重数種 / 対数微分 / HORROKS-Mumford束 / 特異点の特性数 / 低階の反射層 / 絶対スキーム / 双曲多様体 / 小平エネルギー / 複素解析 / 正則写像 / 双曲的多様体 / ディオファントス幾何 / 有理点 / タイヒミューラー理論 / Todd類 / Thom類 / Lefschetz不動点定理 / Galois分岐被覆 / ザリスキ・ペア / 相互法則 / non-Galois 3次被覆 / 引き戻し構成 / versal Galois被覆 / 3次被覆 / 特異K3曲面 / ネロン・セヴェリ格子 / 超越格子 / 射影モデル / 平面6次曲線 / 格子理論 / フロベニウス固有値 / 単有理性 / 2次剰余符号 / ザリスキ・ファンカンペン / 単純K3特異点 / ザリスキペア / ザリスキ・ファンカンペンの定理 / チャーン類 / アティア類 / 特異正則分布 / アティヤ類 / 分解曲線 / 楕円曲面の切断 / アーベル・ヤコビ写像 / 二面体被覆 / section / conic-line arrangement / 非線型分岐 / 位相不変量 / ニュートン図型 / WKB法 / シュビンガ-タイソン方程式 / 振動膜 / モーデル予想 / オイラ積弦理論 / カスプ特異点 / ファイバー朿 / 周期訳像 / 超弦理論 / 代数多様体の部分多様体 / 接触リーマン構造 / 変分問題 / 奇数次元球面 / 複素射影空間 / フーリエ積分作用素 / CHRACTERISTIC CLASSES / SURFACE BUNDLE / RIEMANN SURFACE / ALGEBRAIC SURFACE / SINGULARITY / 複素多様体 / 複素解析空間 / 特異点理論 / moduli問題 / L^2ーコホモロジー理論 / Feynman経路積分 / 汎函数 / ランダムウォーク / 接触構造 / 曲面バンドル特性類 / 不変量 / ホモトピー論 / 4次元多様体 / 特異点論 / 葉層構造理論 / 数理物理学 / 接触幾何学 / Knot theory / Homotopy theory / 4 dimensional manifold / Theory of singularity / Foliation / Mathematical physics / Transformation group / Dynamical system / 楕円的ルールド曲面 / 超平面的配置 / 3次元多様体 / conic burdle / Mochy 対応 / 消滅定理 / 層状空間 / 原始積分の理論 / Calabi-Yau多様体 / 超注理論 / 特異点の分類 / Vectorbundle / Quadratic reside graph / elliptir ruled surface / fandanetl grop / Corplex faliats / arrpent / 3-mantald / hppageonts fads / ベクトル場 / 指数と留数 / 局所化 / ベットル場 / 正則ベクトル場 / vector fields / singular foliations / indices and residues / localization / characteristic classes / 実解析的方法 / 非線形発展方程式 / 型及び証明論 / 錘多様体 / 双曲幾何 / 集中現象 / 逆問題 / 錐多様体 / 迷問題 / 型図子 / 量子アフィン代数 / 型・証明論 / モーメント写像 / 反応拡散系 / 非線型発展方程式 / 実解析的手法 / 代数解析学と表現論 / 無限学の解析 / 量子不変量 / 群作用 / レフシェッツ環 / Real Analytic Methods / Nonlinear evolution equations / Types and Proof Theory / Cone Manifolds / Hyperbolic Geometries / Hyperplanes Arrangements / Concentration Phenomena / Inverse Problems / 表現論 / 単純特異点 / Mackey反応 / アーベル多様体 / モジュライ / 安定性 / McKay対応 / マッカイ対応 / 商特異点 / ヒルベルトスキーム / スタビリィティ(安定性) / ヒルベルトスキーム / マッケイ対応 / トーリック多様体 / ツイスター空間 / ハイパーケーラー多様体 / モノドロミ- / 横断性定理 / Representation / Singularity / Simple singularity / McKay correspondence / Abelian variety / moduli / Stability / コクセタ-群 / 共形場理論 / カラビーヤウ多様体 / CONFORMAL FIELD THEORY / STABLE VECTOR BUNDLE / リーマン・ロッホ / コーエン・マコーレー化 / オルタレーション / resolution of singularity / Riemann-Roch / Cohen-Macaulayfication / singular variety / 低次元トポロジー / 結び目のエネルギー / ガウス・マニン接続 / KZ方程式 / 対数的極 / 組合せ同値 / hyper geometric integral / 特性類の局所他 / Schwartz-MacPherson類 / Fulton-Jphnsan類 / Milnor類 / 多重度 / Riemann-Rochの定理 / Fulton-Johnson類 / Milnor数 / Riemanu-Rochの定理 / Schwartz-MacPherson class / Fulton-Johnson class / Milnor class / multiplicity / coherent sheaves / Riemann-Roch theorem / 線型表現 / (2,3)torus曲線 / 双対曲線 / 楕円曲線 / 交点数 / Fiber sum / Linear representaion / (2, 3) torus curves / dual curves / elliptic surface / elliptic curve / Bochner曲率平坦多様体 / ワイル共形曲率テンサー / 局所共形ケーラー多様体 / 剛体性 / 幾何学フロウ / Hopf多様体 / 4元数Carnot-Caratheodory / Parabolic Geometry / QCC-strutme / spherical CR 幾何 / 展開写像 / ホロノミー群 / C-M曲率テンサー / 4元数双曲幾何 / Parobolic幾何 / L.C.K.構造 / 共形変換 / 接触形式 / 四元教構造 / Weylテンサー / 平坦性 / QCC-structure / Holonomy group / Developing map / Spherical CR Geometry / C-R curvature tenso / Parabolic geometry / Quaternionic hyperbolic geometry / 可積分系 / 量子コホモロジー / Integrable system / harmonic map / holomorphic map / quantum cohomology / 楕円ルート系 / 原子形式 / 平坦構造 / 楕円リー環 / highest weight表現 / 楕円Lie環 / 拡大ハイパボリックルート系 / 最高ウエイト表現 / ブロック代数 / 周期積分 / 周期写像 / 拡大アフィン・ルート系 / Bruhat分解 / Peter-Weyl定理 / elliptic root system / braid group / primitive form / flat structure / elliptic Lie algebra / versal被覆 / 3次体 / Zariski k-plet / Mordell曲線 / Zariski Κ-plet / 超特異κ3曲面 / Groebner基底 / versal cover / fundahnental group / cubic fields / Zariski κ-plet / super singular K3 surfaces / rational double points / Mordell curves / 擬共形4元数構造 / 擬共形4元数CR構造 / 4元数CR幾何学 / 一意化 / 共形不変量 / 幾何構造 / 障害類 / 消滅 / Quaternionic Kahler structure / Contact Structure / CR-structure / Sasakion3-structune / Heisenberg CR-structure / quaternionic hyperbolic space / noncompact Lie group action / flatness / Quaternionic CR / Quaternionic Kahler / Sasakian 3-structure / Contact form / Complex contact structure / Integrability / psendo-Riemann metric / Einstein metric / Pseudo-conformal auaternionic structure / Gemetric structure / Quaternionic CRstructure / Pseudo-conformal auaternionic CR structure / Conformal structure / Vanishing / Obstruction / 符号 / 代数曲面 / ガロア被覆 / 柊子 / tundamental group / lattice / code / algebraic surface / Galocs cover / 交点理論 / 切断の組 / Thom-Porteous公式 / Singular varieties / Localization of characteristic classes / Residues / Local Euler obstructions / Holomorphic foliations / Complex dynamical systems / Intersection theory / エネルギー汎関数 / 共形幾何 / メビウス変換 / 非調和比 / energy functional / リー環 / 行列分解 / 導来圏 / 不連続群 / 分配関数 / 極限集合 / 正規ウェイト系 / 三角圏 / 対数的自由因子 / 正規ウエイト系 / エータ積 / 対数型微分形式 / コクセター変換 / Hook length formula / 組み紐群 / ルート系 / primitive forms / Lie algebra / matrix factorization / derived category / discontinuous group / partition function / knot theory / Atiyah類 / residues / Atiyah classes / holomorphic foliations / complex dynamical systems / intersection theory / 平面曲線 / グレブナー基底 / 正標数 / 位相空間 / Intersection cohomology / ホモトピー / ホモロジー / リンク / Jones多項式 / モデュライ / 葉層 / Topology / Manifold / Foliations / Homotopy / Homology / Konot / Dynamical System / 相対コホモロジー / Alexander 双対性 / Bott-Chern コホモロジー Less

On generalized Lens equations and geometry of mixed singularitiesPrincipal Investigator
- Principal Investigator
  
  岡睦雄
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Geometric structure of mixed non-degenerate singularityPrincipal Investigator
- Principal Investigator
  
  Oka Mutsuo
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
Residue theory on singular varieties and its applications
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Branched covers and topology of open algebraic surfaces
- Principal Investigator
  
  TOKUNAGA Hiroo
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Localization theory of Atiyah classes and its applications
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
K3 surfaces and related algebraic varieties
- Principal Investigator
  
  SHIMADA Ichiro
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Research on the geometry of the projective hypersutfaces and plane curvesPrincipal Investigator
- Principal Investigator
  
  OKA Mutsuo
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
Branched covers and Zariski pairs
- Principal Investigator
  
  TOKUNAGA Hiroo
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Residues on Singular Varieties
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Niigata University
Explicit Study of Algebraic Varieties
- Principal Investigator
  
  SHIMADA Ichiro
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Energy of knots and conformal geometry
- Principal Investigator
  
  IMAI Jun
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University
The study of integrable systems and Lie algebras associated with the period maps for primitive forms
- Principal Investigator
  
  SAITO Kyoji
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Hypersurface singularity theory from fundamental groupPrincipal Investigator
- Principal Investigator
  
  OKA Mutsuo
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo University of Science
  Tokyo Metropolitan University
Residues on Singular Varieties
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Niigata University
  Hokkaido University
Energy of knots and conformal geometry
- Principal Investigator
  
  OHNITA Yoshihiro, 今井淳
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University
Todd類の源を求めて
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Geometry of branched Galois covers and number theory
- Principal Investigator
  
  TOKUNAGA Hiroo
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Research on arrangements of hyperplane
- Principal Investigator
  
  THRAO Hiroaki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Invariants On the Geometric Manifolds with Group Actions
- Principal Investigator
  
  KAMISHIMA Yoshinobu
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University
Fundamental groups of algebraic varieties
- Principal Investigator
  
  SHIMADA Ichiro
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
The flag variety of elliptic Lie algebra and elliptic primitive automorphic forms
- Principal Investigator
  
  SAITO Kyoji
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
On the Weyl conformal invariance on manifolds with various geometric structures and its vanishing of the invariant
- Principal Investigator
  
  KAMISHIMA Yoshinobu
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Department of Mathematics, Tokyo Metropolitan University
Applications of integrable systems in geometry and topology
- Principal Investigator
  
  GUEST Martin
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University
Research on arrangements of hyperplanes
- Principal Investigator
  
  TERAO Hiroaki
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan Univ.
Research on Characteristic Classes of Singular Varieties
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Integrated study on problems related to branched Galois covers
- Principal Investigator
  
  TOKUNAGA Hiroo
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
  Kochi University
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
Energy of knots (existence of energy minimizers and numerical experiment)
- Principal Investigator
  
  KURATA Toshihiko, 今井淳
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University
Study of Hyperplane Arrangements
- Principal Investigator
  
  TAKEDA Yuichiro, 寺尾宏明
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
  Hokkaido University
Study of Singularity Theory From Fundamental GroupPrincipal Investigator
- Principal Investigator
  
  OKA Mutsuo
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  TOKYO METOROPOLITAN UNIVERSITY
FORMULATION OF THE FOUR DIMENSIONAL CONFORMAL FIELD THEORY BASED ON THE MODULI OF STABLE SHEAVES ON ALGEBRAIC SURFACES
- Principal Investigator
  
  NAKASHIMA Tohru
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METOROPOLITAN UNIVERSITY
調和写像のモジュライ空間の研究
- Principal Investigator
  
  OHNITA Yoshihiro
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Metropolitan University
SEEKING FURTHER POSSIBILITIES OF MATHEMATICS
- Principal Investigator
  
  YOSHIKAWA Atsushi
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  KYUSHU UNIVERSITY
Study of singularities and geometry by means of representation theory
- Principal Investigator
  
  NAKAMURA Iku
- Project Period (FY)
  1996 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
連接層の算術的構成
- Principal Investigator
  
  SASAKURA Nobuo
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tokyo Metropolitan University
数論的代数幾何学の研究
- Principal Investigator
  
  福田拓生
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
偏極多様体の構造
- Principal Investigator
  
  藤田隆夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
大域的複素構造の研究
- Principal Investigator
  
  野口潤次郎
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
Theory of Singnlanty and Complex algebrion geonety (advanced sturdy)
- Principal Investigator
  
  SASAKURA Nobuo
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Research on Complex Analytic Geometry and Singularity Theory
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
偏極多様体の構造および分類
- Principal Investigator
  
  藤田隆夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
数学の諸分野にあらわれる特異点
- Principal Investigator
  
  福田拓生
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
General study of topology
- Principal Investigator
  
  NISHIDA Goro
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  Geometry
- Research Institution
  KYOTO UNIVERSITY
解析的集合及び解析的写像の総合的研究Principal Investigator
- Principal Investigator
  
  岡睦雄
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
多様体論における一意化定理の一般化
- Principal Investigator
  
  二木昭人
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
汎関数空間上の関数解析学
- Principal Investigator
  
  井上淳
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
多様体上の葉層構造と力学系
- Principal Investigator
  
  増田一男
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Technology
解析的集合の特異点の幾何構造の研究Principal Investigator
- Principal Investigator
  
  岡睦雄
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Technology
射影多様体の代数幾何的複素解析的および位相幾何的諸性質に基づく分類
- Principal Investigator
  
  藤田隆夫
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Technology
特異点の研究
- Principal Investigator
  
  福田拓生
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Technology
低次元多様体上の諸構造の研究
- Principal Investigator
  
  森田茂之
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Technology
領域摂動法による固有値問題の研究
- Principal Investigator
  
  小澤真
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
複素解析多様体、解析空間に関連した解析学の共同研究の企画
- Principal Investigator
  
  諏訪立雄
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for Co-operative Research (B)
- Research Field
  
  解析学
- Research Institution
  Hokkaido University
汎関数解析の位相解析的研究
- Principal Investigator
  
  藤原大輔
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
解析及び代数多様体の間の境界領域
- Principal Investigator
  
  笹倉頌夫
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for Co-operative Research (B)
- Research Field
  
  解析学
- Research Institution
  Tokyo Metropolitan University
多様体のモデル空間と幾何学的条件の研究
- Principal Investigator
  
  丹野修吉
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Technology
低次元多様体上の諸構造の研究
- Principal Investigator
  
  森田茂之
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Technology
特異点の研究
- Principal Investigator
  
  福田拓生
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Technology
Co-operative Research of Topology
- Principal Investigator
  
  KAWAKUBO Katsuo
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University

[Book] 複素および混合超曲面特異点入門2018
- Author(s)
  岡　睦雄
- Total Pages
  246
- Publisher
  丸善出版
- ISBN
  9784621301081
- Data Source
  KAKENHI-PROJECT-16K05108
[Book] Singularities in Geometry,Topology,Foliations and Dynamics2017
- Author(s)
  J. L.Cisneros-Molina,D.T. Le,M. Oka, J. Snousi(編集者）
- Total Pages
  231
- Publisher
  Birkhauser
- Data Source
  KAKENHI-PROJECT-16K05108
[Book] Singularities in Geometry and Topology2008
- Author(s)
  Brasselet, Damon, Le, Oka
- Total Pages
  902
- Publisher
  World Scientific
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] On the fundamental groups of non-generic R-join type curves II2018
- Author(s)
  Eyral, C* and Oka, M*
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 69 Pages: 387-402
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] Łojasiewicz exponents of non-degenerate holomorohic and mixed functions2018
- Author(s)
  M. Oka
- Journal Title
  
  KMJ
  
  Volume: 41 Issue: 3 Pages: 620-651
- DOI
  10.2996/kmj/1540951257
- NAID
  130007506528
- ISSN
  0386-5991, 1881-5472
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] Smooth mixed projective curves and a conjecture2018
- Author(s)
  M. Oka
- Journal Title
  
  J. Singul.
  
  Volume: 18 Pages: 329-349
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] Topology of mixed hyper surfaces of cyclic type2018
- Author(s)
  Ina, K*, Kawashima, M* and Oka, M*
- Journal Title
  
  J.Math.Soc. Japan
  
  Volume: 70 Pages: 387-402
- NAID
  130006334148
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] Whitney regularity and Thom condition for families of non-isolated mixed singularities2018
- Author(s)
  C. Eyral and M. Oka
- Journal Title
  
  JMSJ
  
  Volume: 70 Issue: 4 Pages: 1305-1336
- DOI
  10.2969/jmsj/77437743
- NAID
  130007501061
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] On the roots of an extended lens equation and an application2018
- Author(s)
  M. Oka
- Journal Title
  
  Springer Proc.Math. Stat.
  
  Volume: 222 Pages: 489-511
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] Topology of mixed hypersurfaces of cyclic type2018
- Author(s)
  K. Inaba, M. Kawashima and M. Oka
- Journal Title
  
  JMSJ
  
  Volume: 70 Issue: 1 Pages: 387-402
- DOI
  10.2969/jmsj/07017538
- NAID
  130006334148
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] Singular fibers of stable maps of manifold pairs and their applications2018
- Author(s)
  Oka, M*
- Journal Title
  
  "Singularities and Foliations. Geometry, Topology and Applications", Araujo dos Santos, et al (Eds.), Springer Proceedings in Mathematics & Statistics
  
  Volume: 222 Pages: 259-294
- DOI
  10.1007/978-3-319-73639-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108, KAKENHI-PROJECT-16K13754, KAKENHI-PROJECT-17H06128, KAKENHI-PROJECT-16H03936, KAKENHI-PROJECT-15K13438
[Journal Article] Non-compact Newton boundary and Whitney equisingularity2017
- Author(s)
  Eyral, C* and Oka, M*
- Journal Title
  
  Adv. Math.
  
  Volume: 316 Pages: 94-113
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] Topology of Mixed hypersurface of cyclic type2017
- Author(s)
  K.Inaba, M. Kawashima and M. Oka
- Journal Title
  
  J.Math. Soc. Japan
  
  Volume: 69
- NAID
  130006334148
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] On the fundamental groups of non-generic R-join type curves, II2017
- Author(s)
  C. Eyral and M. Oka
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 69 Pages: 241-262
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108
[Journal Article] Classification of the fundamental groups of join type curves of degree 72015
- Author(s)
  C.Eyral and M. Oka
- Journal Title
  
  J. Math.Soc. Japan
  
  Volume: 67 Pages: 663-698
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400098
[Journal Article] Topology of strongly polar weighted homogeneous links2015
- Author(s)
  V.Blanloeil and M. Oka
- Journal Title
  
  SUT. J. MATH.
  
  Volume: 51 Pages: 119-128
- NAID
  120006397913
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400098
[Journal Article] On Milnor fibrations of mixed functions, af-condition and boundary stability2015
- Author(s)
  M. Oka
- Journal Title
  
  Kodai J. Math.
  
  Volume: 38 Pages: 581-603
- NAID
  130005475928
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-25400098
[Journal Article] Mixed function of strongly polar weighted homogeneus face type2015
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Advanced Study of Mathematics
  
  Volume: 66 Pages: 173-202
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400098
[Journal Article] On the fundamental groups of non-generic R-Join-type curves2014
- Author(s)
  C.Eyral and M.Oka
- Journal Title
  
  Springer Proceeding in Mathematics and Statistics
  
  Volume: 96 Pages: 137-157
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400098
[Journal Article] Contact structure on mixed links2014
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Vietnam J. Math.
  
  Volume: 42 Pages: 249-271
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400098
[Journal Article] Fundamental groups of join-type curves-achievements and perspectives2014
- Author(s)
  C.Eyral and M. Oka
- Journal Title
  
  Proc. Japan Acad. Ser. A
  
  Volume: 90 Pages: 43-47
- NAID
  40019983641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400098
[Journal Article] Fundamental groups of join-type curves―achievements and perspectives.2014
- Author(s)
  C.Eyral and M. Oka
- Journal Title
  
  Proc. Japan. Acad.
  
  Volume: 90 Pages: 43-47
- NAID
  40019983641
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400098
[Journal Article] Fundamental groups of join-type sextics via dessins d'enfants2013
- Author(s)
  C. Eyral and M. Oka
- Journal Title
  
  Proc. London Math. Soc.
  
  Volume: 107 Pages: 76-120
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400098
[Journal Article] On Brieskorn variety, Topology of Algebraic varieties and singularities2011
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Contemp. Math
  
  Volume: 538 Pages: 389-399
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] On Mixed Brieskorn variety2011
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Contemp.Math.
  
  Volume: 538 Pages: 389-399
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Mixed Brieskorn varieties2011
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Comtemporary Math.
  
  Volume: 538 Pages: 389-399
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] On Alexander polynomials of certain$(2, 5)$ torus curves2010
- Author(s)
  Kawashima, Masayuki and Oka, Mutsuo
- Journal Title
  
  J. Math. Soc
  
  Volume: 62, no.1 Pages: 213-238
- NAID
  10026998911
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Non-degenerate Mixed functions2010
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Kodai J.Math.
  
  Volume: 33 Pages: 1-62
- NAID
  130004687924
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] On mixed plane curves of degree 1, Proceeding of the Centre for math.And its applications2010
- Author(s)
  Oka, M
- Journal Title
  
  Univ.Sydney 43
  
  Pages: 67-74
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] On mixed plane curves of degree 12010
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Proceediing-of the Centre for Math.And its applications
  
  Volume: 43 Pages: 67-74
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Non-degenerate mixed functions2010
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Kodai Math. J
  
  Volume: 33 Pages: 1-62
- NAID
  130004687924
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Non-degenerate mixed functions2010
- Author(s)
  Oka, M
- Journal Title
  
  Kodai J.Math. Vol.33
  
  Pages: 1-62
- NAID
  130004687924
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Mixed Brieskorn varieties2010
- Author(s)
  Oka, M
- Journal Title
  
  Vol.538
  
  Pages: 389-399
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] On A}lexander polynomials of certain {$(2,5)$} torus curves2010
- Author(s)
  Kawashima, M, Oka, M.
- Journal Title
  
  J.Math.Soc.Japan 62
  
  Pages: 213-238
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] A proof of a conjecture of Degtyarev on non-torus plane sextics2009
- Author(s)
  Eyral, C., Oka, M.
- Journal Title
  
  Advanced Study in Pure Math. 56
  
  Pages: 109-131
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Alexander equivalent Zariski pairs of irreducible sextics2009
- Author(s)
  Oka, Mutsuo, Eyral, C
- Journal Title
  
  J. Topology
  
  Volume: 2(3) Pages: 433-441
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Non-degenerate mixed functions2009
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Kodai J.Math. 33
  
  Pages: 1-62
- NAID
  130004687924
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] On the geometry of certain irreducible non-torus plane sextics2009
- Author(s)
  Eyral, C., Oka, M.
- Journal Title
  
  Kodai J.Math. 32
  
  Pages: 404-419
- NAID
  130004687913
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Topology of abelian pencils of curves2009
- Author(s)
  Oka, M
- Journal Title
  
  Adv.Stud.Pure.Math. 56
  
  Pages: 225-246
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] A plane sextic with finite fundamental group. Singularities-Niigata-Toyama 20072009
- Author(s)
  Degtyarev, Alex, Oka, Mutsuo
- Journal Title
  
  Adv. Stud. Pure Math
  
  Volume: 56 Pages: 93-108
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] A plane sextic with finite fundamental group2009
- Author(s)
  Degtyarev, A., Oka, M.
- Journal Title
  
  Advanced Study in Pure Math. 56
  
  Pages: 93-108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] A plane sextic with finite fundamental group2009
- Author(s)
  Alexander Degtyarev, Mutsuo Oka
- Journal Title
  
  Advanced Studies in Pure Math. 56
  
  Pages: 93-108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540043
[Journal Article] Topology of abelian pencils of curves. Singularities\u2014 Niigata\u2013 Toyama 20072009
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Adv. Stud. Pure Math.
  
  Volume: 56 Pages: 225-248
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Topology of Abelian pencils of curves2009
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Advanced Studies in Pure Math. 56
  
  Pages: 163-182
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] A proof of a conjecture of Degtyarev on non-torus plane sextics2009
- Author(s)
  Eyral, Christophe ; Oka, Mutsuo
- Journal Title
  
  Singularities-Niigata-Toyama 2007
  
  Volume: 56 Pages: 109-131
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Geometry of Plane curves from Taylor Expansion2008
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Contemporary Math. 475
  
  Pages: 151-167
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Geometry of plane curves via taylor expansions2008
- Author(s)
  M., Oka
- Journal Title
  
  to appear in Proceeding of Conference on Geometry and Topology, Cuernavaca, Mexico
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340016
[Journal Article] Topology of Polar weighted homogeneous hypersurfaces2008
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Kodai Math. J. 31
  
  Pages: 163-182
- NAID
  130004687885
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Geometry of Pencil of plane curves via Taylor expansions, Singularities, II2008
- Author(s)
  Oka Mutsuo
- Journal Title
  
  Contemp. Math
  
  Volume: 475 Pages: 151-167
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Topology of polar weighted homogeneous hypersurfaces2008
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Kodai Math. J. 31
  
  Pages: 163-182
- NAID
  130004687885
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340002
[Journal Article] Geometry of plane curves via taylor expansions2008
- Author(s)
  M. Oka
- Journal Title
  
  Proceeding of Conference on Geometry and Topology (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340016
[Journal Article] Topology of polar weighted homogeneous hypersurfaces2008
- Author(s)
  Oka, Mutsuo
- Journal Title
  
  Kodai Math. J
  
  Volume: No.2 Pages: 163-182
- NAID
  130004687885
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] Tangential Alexander Polynomials and non-reduced degeneration2007
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Singularities in Geometry and Topology、World Science publishing Company Proceeding
  
  Pages: 669-704
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Tangential Alexander Polynomials and non-reduced degeneration2007
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Proceedings of Singularities and topology(World Scientific)
  
  Pages: 669-704
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540043
[Journal Article] Tangential Alexander polynomials and non-reduced degeneration2007
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Proceeding of "Singularities in Geometry and Topology WS
  
  Pages: 669-704
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Geometry of plane curves via taylor expansions2007
- Author(s)
  M. Oka
- Journal Title
  
  Proceeding of Conference on Geometry and Topology (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340016
[Journal Article] Tangential Alexander Polynomials and non-reduced degeneration.2007
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Proceedings of 'Singularities in Geometry and Topology' World Scientific, (donated to Prof. K. Saito)
  
  Pages: 669-704
- Data Source
  KAKENHI-PROJECT-16340016
[Journal Article] Zariski Pairs II2007
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Singularity Theory, Luminy 5 weeks proceeding
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Fundamental groups of the complements of certain plane non-tame toru sextics2006
- Author(s)
  M.Oka, C.Eyral
- Journal Title
  
  Topology Appl. 11
  
  Pages: 1705-1721
- Data Source
  KAKENHI-PROJECT-18340015
[Journal Article] Fundamental groups of the complements of certain plane non-tame torus curve2006
- Author(s)
  C.Eyral, M.Oka
- Journal Title
  
  Topology and its application 153
  
  Pages: 1705-1721
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Fundamental groups of the complements of certain plane non-tame torus sextics2006
- Author(s)
  Mutsuo Oka, Christophe Eyral
- Journal Title
  
  Topology and its application 153
  
  Pages: 1705-1721
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Survey on Alexander Polynomials of plane curves2005
- Author(s)
  Oka, M.
- Journal Title
  
  Proceeding of Franco-Japon Singularity conference (近刊)
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] On Fermat curves and maximal nodal curves2005
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Michigan Math. J. 53
  
  Pages: 459-477
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Alexander polynomial of torus curves,2005
- Author(s)
  B.Audoubert, C.T.Nguyen, M.Oka
- Journal Title
  
  J.Math.Japan 57-4
  
  Pages: 935-957
- NAID
  130000829466
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] On Fermat curves and maximal nodal curves2005
- Author(s)
  岡睦雄
- Journal Title
  
  Michigan Math.J. 53
  
  Pages: 459-477
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340016
[Journal Article] A survey on Alexander polynomials of palne curves2005
- Author(s)
  M.Oka
- Journal Title
  
  S'eminaire et congr'es 10
  
  Pages: 209-232
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Alexander polynomial of torus curves2005
- Author(s)
  B.Audoubert, C.T.Nguyen, M.Oka
- Journal Title
  
  J. Math. Japan 57-4
  
  Pages: 935-957
- NAID
  130000829466
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Zariski Pairs on Sextics I2005
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Vietnam J. Math. 33
  
  Pages: 81-92
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] On the fundamental group of the complements of plane singular curves2005
- Author(s)
  Eyral C., Oka M.
- Journal Title
  
  J.Math.Soc.Japan Vol.57,No 1
  
  Pages: 37-54
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Survey on Alexander polynomials of plane curves2005
- Author(s)
  Mutsuo Oka
- Journal Title
  
  Seminaire et Congres 10
  
  Pages: 209-232
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] On Fermat curves and maximal nodal curves2005
- Author(s)
  M.Oka
- Journal Title
  
  Michigan Math.J. 53-2
  
  Pages: 459-477
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] On Fermat curves and maximal nodal curves2005
- Author(s)
  M.Oka
- Journal Title
  
  Michigan Math.J. 53
  
  Pages: 459-477
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340016
[Journal Article] On topological types of reduced sextics2004
- Author(s)
  Oka, M.
- Journal Title
  
  Kodai J. Math. 27
  
  Pages: 237-260
- NAID
  130003574463
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540088
[Journal Article] On topological types of reduced sextics2004
- Author(s)
  Nguyen C.T., Ishikawa M, Oka, M.
- Journal Title
  
  Kodai J.Math. Vol.27
  
  Pages: 237-260
- NAID
  130003574463
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] On topological types of reduced sextics2004
- Author(s)
  Y.Oka
- Journal Title
  
  Kodai J.Math 27
  
  Pages: 237-260
- NAID
  130003574463
- Data Source
  KAKENHI-PROJECT-15540088
[Journal Article] On topological types of reduced sextics2004
- Author(s)
  M.Oka
- Journal Title
  
  Kodai J.Math. 27
  
  Pages: 237-260
- NAID
  130003574463
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540088
[Journal Article] Intersection theory on mixed curves
- Author(s)
  Oka, Mutsuo
- Volume
  1202
- Pages
  2166-2166
- NAID
  130004496161
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] On mixed projective curves
- Author(s)
  Oka, Mutsuo
- Volume
  0910
- Pages
  2523-2523
- Data Source
  KAKENHI-PROJECT-20540094
[Journal Article] pil-Equivalent weak Zariski pairs
- Author(s)
  Eyral, C, Oka, M.
- Journal Title
  
  Tokyo Journal of Mathematics (近刊)
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Fundamental group of the complements of certain plane torus sextics
- Author(s)
  Eyral, C, Oka, M.
- Journal Title
  
  Topology and its applications (受理)
- Data Source
  KAKENHI-PROJECT-16340019
[Journal Article] Mixed functions of strongly polar weighted homogeneous face type
- Author(s)
  Oka, Mutsuo
- Volume
  1202
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] On the Milnor fibration of $f \bar g$2019
- Author(s)
  岡　睦雄
- Organizer
  International workshop on Geometry, Analysis and Algebra
- Invited
- Data Source
  KAKENHI-PROJECT-16K05108
[Presentation] On the connectivity of Milnor fiber of mixed function2018
- Author(s)
  Mutsuo Oka
- Organizer
  Papadima memorial Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108
[Presentation] Introduction of mixed singularities2018
- Author(s)
  Mutsuo Oka
- Organizer
  日仏越3か国特異点会議
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108
[Presentation] Smooth projective mixed curves and a conjecture2018
- Author(s)
  Mutsuo Oka
- Organizer
  The 13th Kagoshima Algebra-Analysis-Geometry Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108
[Presentation] On the connectivity of Milnor fiber of a mixed polynomial2018
- Author(s)
  Mutsuo Oka
- Organizer
  Singularity workshop at Sendai
- Invited
- Data Source
  KAKENHI-PROJECT-16K05108
[Presentation] Geometry of weighted homogeneous mixed polynomials2017
- Author(s)
  Mutsuo Oka
- Organizer
  Panorama of Singularities
- Place of Presentation
  Seville, Spain
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108
[Presentation] Lojasiewicz exponents for a non-degenerate holomorphic and mixed function2017
- Author(s)
  Mutsuo Oka
- Organizer
  Singularity theory Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108
[Presentation] Lojasiewicz inequality and its application2017
- Author(s)
  Mutsuo Oka
- Organizer
  Geometry of Singularities
- Place of Presentation
  VISMA, Vietnam
- Year and Date
  2017-02-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108
[Presentation] On the generalized Lens equations and its application2016
- Author(s)
  Mutsuo Oka
- Organizer
  Geometry of analytic functions
- Place of Presentation
  Bedlevo, Poland
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05108
[Presentation] On the fundamental groups of non-generic R Join-type curves2015
- Author(s)
  Mutsuo OKA
- Organizer
  Branched Coverings,Degenerations, and related Topics
- Place of Presentation
  首都大学東京
- Year and Date
  2015-03-07
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] On the generalized Lens equation and Milnor fibration2015
- Author(s)
  岡　睦雄
- Organizer
  Mexico-Brasil Singularity conference, Salvador
- Place of Presentation
  ブラジル、サルバドール大学
- Year and Date
  2015-07-16
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] On the Milnor fibration of mixed homogeneous functions and af condition2015
- Author(s)
  岡　睦雄
- Organizer
  30 Coloquio Brasileiro de Mathematica
- Place of Presentation
  ブラジル、リオデジャネイロ、IMPA
- Year and Date
  2015-07-29
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] On the generalizd Lens equations and its applications2015
- Author(s)
  岡睦雄
- Organizer
  Hanoi Mathematics Institute Seminar
- Place of Presentation
  ベトナム、ハノイ数学研究所
- Year and Date
  2015-04-09
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] On non-degenerate mixed functions2014
- Author(s)
  M. Oka
- Organizer
  International Workshop on Real and Complex Singularities
- Place of Presentation
  Sao Carlos 大学
- Year and Date
  2014-08-01
- Invited
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] On non-isolated mixed singularities and its Minor fibration2014
- Author(s)
  M. Oka
- Organizer
  Workshop on Singularities in Geometry,topology, foliation's and dynamics
- Place of Presentation
  Universite Autonoma de Yacatan
- Year and Date
  2014-12-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] Introduction to the fundamental group of plane curves2013
- Author(s)
  MutsuoOka
- Organizer
  Hanoi CIMPA school of Mathematics
- Place of Presentation
  ハノイ数学研究所
- Invited
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] Mixed function of strongly polar weighted homogeneous face type2012
- Author(s)
  Oka, Mutsuo
- Organizer
  アメリカ数学会
- Place of Presentation
  Hawaii大学
- Year and Date
  2012-03-04
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] Mixed singularities and contact structure2012
- Author(s)
  Oka, Mutsuo
- Organizer
  日越共同研究
- Place of Presentation
  Dalat Univ.
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] Mixed function and zeta function2011
- Author(s)
  Oka, Mutsuo
- Organizer
  Heifei特異点国際会議
- Place of Presentation
  中国化学技術大学
- Year and Date
  2011-06-30
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] Mixed Projective singularities2010
- Author(s)
  Oka, Mutsuo
- Organizer
  The Japanese-Australian Workshop on Real and Complex Singularities
- Place of Presentation
  Sydney, Australia
- Year and Date
  2010-09-16
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] Projective Mixedcurves of degree 1 and Thom inequality2010
- Author(s)
  Oka, Mutsuo
- Organizer
  実閉体上の幾何と特異点論への応用
- Place of Presentation
  京都大学、数理解析研究所
- Year and Date
  2010-12-02
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] Introduction to Mixed singularities2010
- Author(s)
  Oka, Mutsuo
- Organizer
  Topology and Geometry
- Place of Presentation
  Gokova, Turkey
- Year and Date
  2010-06-10
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] On the topology of Mixed functions2009
- Author(s)
  Oka, Mutsuo
- Organizer
  Singularities Aarhus
- Place of Presentation
  Aarhus 大学
- Year and Date
  2009-08-17
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation]2009
- Author(s)
  Oka, Mutsuo
- Organizer
  Mini workshop on Singularities
- Place of Presentation
  Muster 大学
- Year and Date
  2009-09-01
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] On mixed singularity and its Milnor fibration2009
- Author(s)
  Oka, Mutsuo
- Organizer
  The 5-th Franco-Japon Singularity conference
- Place of Presentation
  Strasbourg 大学
- Year and Date
  2009-08-24
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] Topology of non-degenerate Mixed polynomials2008
- Author(s)
  岡睦雄
- Organizer
  Conference on Affine Geometry, Number Theoryand Singularities
- Place of Presentation
  Castro Urdiale
- Year and Date
  2008-06-19
- Data Source
  KAKENHI-PROJECT-20540094
[Presentation] Geometry of pencils of curves via Taylor expansions2007
- Author(s)
  岡睦雄
- Organizer
  4th Franco-Japanese symposium on Singularites
- Place of Presentation
  富山市
- Year and Date
  2007-08-30
- Data Source
  KAKENHI-PROJECT-19540043
[Presentation] On the fundamental group of Join type plane curves
- Author(s)
  Mutsuo Oka
- Organizer
  Japanese Turkish Geometry Meeting
- Place of Presentation
  Galatasaray大学、Istanbul
- Invited
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] On the fundamental group of non-generic R-join type curves
- Author(s)
  Mutsuo Oka
- Organizer
  "Experimental and Theoretical Methods in Algebra, Geometry and Topology
- Place of Presentation
  Romania、Eforie Nord
- Invited
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] Introduction to mixed hypersurface singularities
- Author(s)
  M. Oka
- Organizer
  CIMPA school on singularities
- Place of Presentation
  Cuernavaca大学
- Year and Date
  2014-11-24 – 2014-11-28
- Invited
- Data Source
  KAKENHI-PROJECT-25400098
[Presentation] On the geometry of non-degenerate mixed hypersurface
- Author(s)
  Mutsuo Oka
- Organizer
  Geometric singularity theory
- Place of Presentation
  Banach センター、ワルシャワ
- Invited
- Data Source
  KAKENHI-PROJECT-25400098

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98. MUKAI Shigeru (80115641)

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99. SAITO Morihiko (10186968)

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100. AKAHO Manabu (30332935)

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101. KONNO Kazuhiro (10186869)

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102. SAKAI Katsuro (50036084)

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103. KATO Mitsuyoshi (60012481)

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104. ASUKE Taro (30294515)

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105. 吹田信之 (90016022)

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106. 宍倉光広 (70192606)

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107. 鵜飼正二 (30047170)

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108. 宮岡礼子 (70108182)

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109. 小林正典 (60234845)

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110. 志賀啓成 (10154189)

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111. 前田定広 (40181581)

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112. 塩田徹治 (00011627)

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113. 阪本邦夫 (70089829)

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114. 笹尾靖也 (10016024)

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115. 佐藤肇 (30011612)

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116. 松元重則 (80060143)

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117. 山口佳三 (00113639)

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118. 大島利雄 (50011721)

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119. 筱田健一 (20053712)

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120. 吉田知行 (30002265)

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121. 石田正典 (30124548)

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122. 藤木明 (80027383)

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123. 山下博 (30192793)

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124. 山田裕史 (40192794)

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125. 伊藤由佳理 (70285089)

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126. HELMKE Stefan (40293972)

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127. 真田克典 (50196292)

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128. YAMAMOTO Takahiro

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OKA Mutsuo 岡 睦雄

岡 陸雄 オカ ムツオ

岡 睦夫 オカ ムツオ

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On generalized Lens equations and geometry of mixed singularitiesPrincipal Investigator

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Geometric structure of mixed non-degenerate singularityPrincipal Investigator

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Research on the geometry of the projective hypersutfaces and plane curvesPrincipal Investigator

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Hypersurface singularity theory from fundamental groupPrincipal Investigator

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OKA Mutsuo 岡睦雄

岡陸雄オカムツオ

岡睦夫オカムツオ