FUKUDA Takuo 福田拓生

… Alternative Names

福田卓生フクダタクオ

福田拓生フクダタクオ

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Researcher Number	00009599
Other IDs
Affiliation (based on the past Project Information) *help	2000 – 2010: 日本大学, 文理学部, 教授 1997: 東京工業大学, 理学部, 教授 1987 – 1995: 東京工業大学, 理学部, 教授 1986: 東京工大, 理学部, 教授
Review Section/Research Field	Principal Investigator 代数学・幾何学 / Geometry / Algebra Except Principal Investigator 解析学 / 代数学・幾何学 / Geometry / Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis
Keywords	Principal Investigator 特異点 / 特異点解消 / 多様体 / 特性類 / モジュライ空間 / ゼータ関数 / 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 … More / ファインマン経路積分 / キャッソン不変量 / ビリヤ-ド問題 / Casson不変量 / 多重数種 / 対数微分 / 絶対スキーム / 偏極多様体 / 極小モデル理論 / 随伴直線束 / 双曲多様体 / 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 / トポロジー / 力学系 / ホモロジー / フレア-ホモロジー / ゲージ理論 / 共形場理論 / 結び目 / フレアーホモロジー / インスタントン / ラグランジアンホモロジー / カオス / フラクタル / マンデルブロート / Manifold / Topology / Dynamical System / Homology / Floer Homology / Gauge Theory / Conformal Field Theory / Knot … More Except Principal Investigator 特異点 / スペクトル / F-threshold / エルゴード理論 / ergodic theory / tight closure / Frobenius写像 / lc threshold / Perron-Frobenius作用素 / multiplier ideal / discrepancy / 変分問題 / 極小モデル / 多重種数 / 複素射影空間 / 可換環論 / 乗数イデアル / 整閉包 / 重複度 / jumping number / 疑似乱数 / 力学系 / Perron-Frobenius operator / フラクタル / 乱数 / F-pure / Hilbert-Kunz multiplicity / log terminal singularity / F-pure threshold / 整閉イデアル / Hilbert-Kunz重複度 / 有理特異点 / F-regular ring / Frobenius endomorphism / 特異点解消 / フィルター付きブロウイングアップ / 3次元端末特異点 / resolution of singularities / filtered blowing-up / 擬似乱数 / spectrum / low discrepancy / F-rational ring / totally reflexive module / 複素WKB法 / スト-クス現象 / 鞍部点法 / 変り点 / 領域摂動 / ランダム媒質 / グリ-ン関数 / リ-マン多様体 / 正曲率 / CR構造 / 接触構造 / ファインマンの経路積分 / トレリ群 / ホモロジ-球面 / 熱方程式の基本解 / 複素解析多様体 / 変形 / ミルナ-数 / 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) / 対数多様体(log variety) / 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) / オイラー・ポアンカレ標数 / キャソン不変量 / 極小曲面 / ガウス写像 / 代数学 / 特異点論 / 代数幾何学 / 正標数の手法 / 次数付環 / test ideal / a-invariant / Gorenstein環 / coefficient ideal / 代数幾何 / 確率論 / エルゴート / 議事乱数 / ペロンフロベニウス作用素 / エルゴード / スペクトル半径 / 混合生 / 力学的ζ関数 / pseudo tandom number / low discrepancy sequence / 接触リーマン構造 / 奇数次元球面 / フーリエ積分作用素 / CHRACTERISTIC CLASSES / SURFACE BUNDLE / MODULI SPACE / RIEMANN SURFACE / ALGEBRAIC SURFACE / SINGULARITY / 非線形函数解析学 / 非線形作用素 / 非線形エルゴード定理 / 非線形発展方程式 / 凸計画 / 不動点定理 / min-max定理 / 非線形変分不等式 / 複素多様体 / 複素解析空間 / 代数多様体 / 特異点理論 / moduli問題 / L^2ーコホモロジー理論 / リーマン面 / モジュライ / 解析写像 / 有限性定理 / 結び目理論 / 3次元多様体 / Heegaard分解 / 曲面の写像類群 / Casson不変量 / 量子群 / Floerホモロジ- / 衛星結び目 / 衛星結び目(Satellite Knet) / コンパニオン(Companion) / Heegaard種数 / Mathieuの問題 / HassーThompson予想 / 位相的量子場理論 / Verlindeの等式 / DeligneーMumfordのコンパクト化 / 写像類群 / キャッソン(Casson)不変量 / Kー2方程式のモノドロミ-表現 / Rー行列 / マスロフ(Maslov)指数 / Knot Theory / 3-Manifold / Mapping Class Group / Casson Invariant / Heegaard Splitting / Floer Homology / Maslov Index / Symplectis Geometry / 基本群 / ザリスキー対 / ガロア被覆 / 特性類 / ノット / 特異点をもつ葉層 / 楕円曲線 / Zariski対 / 双対曲線 / 超平面配置 / σS_3被覆 / トーリック写像 / Adjunction公式 / トーリック埋め込み / 特異点解消 / Zariski 対 / 分岐被覆 / 葉層構造 / 完全交差 / Fundamental group / Zariski Pair / Galois covering / Characteristic Class / Knot / Singularity / Singular foliation / Elliptic Curves / トーリック多様体 / 代数曲面 / 超曲面 / 偏極多様体 / blow up / singularities / toric variety / algebraic surfaces / ペロン-フロベニウス作用素 / ブラウン運動 / エルゴード性 / 混合性 / Perron-Frobenius Operator / fractal / random number / Brownian motion / thight closure / 正則局所環 / log resolution / UFD / Seifelt手術 / Chow群 / 全座標環 / 素元分解環 / 特異点の解消 / subadditivity / regular ring / terminal singularity / blowing up / 商特異点 / F-pure ring / regular local ring / Gluck手術 / 代数的スタック / 局所環の位数関数 / 付随次数付き環 / フィルター付ブロウイングアップ / フリップの存存定理 / 双正則同形問題 / 4次元多様体 / Dehn手術 / plurigenus / 3-dimensional terminal singularities / Gluck surgery / algebraic stacks / order function of local rings / associated graded rings / ハウスドルフ次元 / dynamical system / Hausdorff dimension / psudo random numbe / 楕円型特異点 / 幾何種数 / 次元特異点 / 普遍アーベル被覆 / 2次元特異点 / ベロネーゼ部分環 / 完全交叉性 / 2次元楕円型特異点 / 整閉イデアルの対数的特異点解消 / multiplierイデアル / implicit differential systems / 3次元端末的特異点 / elliptic singularity / geometric genus / 3-dimensional terminal singularity / 2-dimensional singularity / universal abelican covering / rotation number / 大偏差原理 / van der Corput列 / Perron-Frobenius operatur / F-有理環 / totally reflexive加群 / 標数p>0の手法 / jumping coefficient / F-正則対 / rational singularity / integral closure / multiplicity Less

Characteristic p method in singularity theory
- Principal Investigator
  
  WATANABE Keichi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Research on the spectrum of Perron-Frobenius operator and pseudo random number associated with higher dimensional dynamical system
- Principal Investigator
  
  MORI Makoto
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nihon University
Singurality Theory and Frobenius Morphism
- Principal Investigator
  
  WATANABE Keiichi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Filtered blowing-up of local rings and algebraic geometric classification of singularities
- Principal Investigator
  
  TOMARI Masataka
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Research on Spectra of Perron-Frobenius operator generated by dynamical systm and random numbers
- Principal Investigator
  
  MORI Makoto
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nihon University
Filtered blowing-up of singularities and algebraic geometric properties of tangent cone
- Principal Investigator
  
  TOMARI Masataka
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
  Kanazawa University
Research on Perron-Frobenius operator and fractals
- Principal Investigator
  
  MORI Makoto
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nihon University
Commutative ring theory and singularity theory
- Principal Investigator
  
  WATANABE Keiichi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Research on ergodic theory and Perron-Frobenius operator
- Principal Investigator
  
  MORI Makoto
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nihon University
Study of Singularity Theory From Fundamental Group
- Principal Investigator
  
  OKA Mutsuo
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  TOKYO METOROPOLITAN UNIVERSITY
Singularities on complex varieties
- Principal Investigator
  
  ISHII Shihoko
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  TOKYO INSTITUTE OF TECHNOLOGY
数論的代数幾何学の研究Principal Investigator
- 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
多様体の幾何構造と不変量に関する研究
- Principal Investigator
  
  丹野修吉
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
数学の諸分野にあらわれる特異点Principal Investigator
- 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
解析的集合及び解析的写像の総合的研究
- 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
STUDIES OF TOPOLOGY FROM VARIOUS VIEW POINTSPrincipal Investigator
- Principal Investigator
  
  FUKUDA Takuo
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  TOKYO INSTITUTE OF TECHNOLOGY
多様体上の特異点の研究
- Principal Investigator
  
  石井志保子
- 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
リ-マン多様体の曲率と位相構造の研究
- Principal Investigator
  
  丹野修吉
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Institute of Technology
特異点の研究Principal Investigator
- 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
Co-operative Research of Topology
- Principal Investigator
  
  KATO Mitsuyoshi
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyushu University
微分方程式の漸近理論
- Principal Investigator
  
  西本敏彦
- 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
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
  
  SUWA Tatsuo
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for Co-operative Research (B)
- Research Field
  
  解析学
- Research Institution
  Hokkaido University
複素多様体上の解析写像の研究
- Principal Investigator
  
  吹田信之
- 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
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
非線形解析学とその周辺の研究
- Principal Investigator
  
  高橋渉
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
特異点の研究Principal Investigator
- 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

All 2004

All Journal Article

[Journal Article] Singularities of implicit differential systems and their integrability2004
- Author(s)
  T.Fukuda, S.janeczko
- Journal Title
  
  Banach Center Publications 65
  
  Pages: 23-47
- Data Source
  KAKENHI-PROJECT-16540043
[Journal Article] Singularities of implicit differential systems and their integrability2004
- Author(s)
  Fukuda, S.Janeczko
- Journal Title
  
  Banach Center Publications vol.65
  
  Pages: 23-47
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540043
[Journal Article] Singularities of implicit differential systems and their integrability2004
- Author(s)
  T.Fukuda, S.Janeczko
- Journal Title
  
  Banach Center Publications 65
  
  Pages: 23-47
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540043

1. MORITA Shigeyuki (70011674)

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2. OKA Mutsuo (40011697)

# of Collaborated Projects: 12 results

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3. 丹野修吉 (10004293)

# of Collaborated Projects: 6 results

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4. ISHII Shihoko (60202933)

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5. 野口潤次郎 (20033920)

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6. WATANABE Keichi (10087083)

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7. 井上淳 (40011613)

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8. 藤原大輔 (10011561)

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9. FUJITA Takao (40092324)

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10. TOMARI Masataka (60183878)

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11. MORI Makoto (60092532)

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13. KURANO Kazuhiko (90205188)

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14. MATSUMOTO Yukio (20011637)

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15. YAMAURA Yoshihiko (90255597)

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21. KOBAYASHI Masanori (60234845)

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22. YOSHIDA Kennichi (80240802)

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23. TAKAGI Shunsuke (40380670)

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24. SUWA Tatsuo (40109418)

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26. KAWAKUBO Katsuo (50028198)

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27. HARA Nobuo (90298167)

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28. IWASE Zjunichi (70183746)

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29. HAYAKAWA Takayuki (20198823)

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36. 増田一男 (20016158)

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37. 阪本邦夫 (70089829)

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46. KATO Mitsuyoshi (60012481)

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47. KAWAUCHI Akio (00112524)

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48. NOGURA Tsugunori (00036419)

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49. MATSUMOTO Takao (50025467)

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50. NISHIDA Goro (00027377)

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51. URABE Tosuke (70145655)

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52. SAEKI Osamu (30201510)

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53. SHIMADA Ichiro (10235616)

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54. TOKUNAGA Hiroo (30211395)

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58. TSUJI Hajime (30172000)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. KURODA Koji (50153416)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. MOTEGI Kamahi (40219978)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
61. 鈴木正彦 (00171249)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
62. 児玉秋雄 (20111320)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
63. 加須栄篤 (40152657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
64. 菅野孝史 (30183841)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
65. OKUMA Tomohiro (00300533)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
66. 橋本光靖 (10208465)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

FUKUDA Takuo 福田 拓生

福田 卓生 フクダ タクオ

福田 拓生 フクダ タクオ

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数論的代数幾何学の研究Principal Investigator

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数学の諸分野にあらわれる特異点Principal Investigator

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FUKUDA Takuo 福田拓生

福田卓生フクダタクオ

福田拓生フクダタクオ