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ISHIMOTO Hiroyasu  石本 浩康

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… Alternative Names

石本 浩康  イシモト ヒロヤス

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Researcher Number 90019472
Affiliation (based on the past Project Information) *help 1993 – 2002: 金沢大学, 理学部, 教授
1987 – 1991: 金沢大学, 理学部, 教授
Review Section/Research Field
Principal Investigator
Geometry / 代数学・幾何学
Except Principal Investigator
Algebra / Geometry / 解析学 / 代数学・幾何学 / Global analysis
Keywords
Principal Investigator
automorphic forms / Pn'mes and Knots / Milnor number / hypersurface isolated singularities / harmonic inverse mean curvature surfaces / constant mean curvature surfaces / homotopy equivalent manifolds / primary manifolds / ミルナー不変量 / アデール幾何 … More / 特異点 / 結び目と素数 / 端末特異点 / ブローイングアップ / ボンネ曲面 / 多様体のホモトピー同値 / 保型形式 / 素数と結び目 / ミルナー数 / 超曲面孤立特異点 / 調和逆平均曲率曲面 / 平均曲率一定曲面 / ホモトピー同値な多様体 / 初等多様体 / 円単数群 / 平均曲率方程式 / 圧縮性粘性流体 / ワイル量子化ハミルトニアン / ガウス写像 / 極小曲面 / ハンドル体 / 多様体の分類 … More
Except Principal Investigator
正則自己同型群 / 正則写像 / 端末特異点 / 有理特異点 / 孤立特異点 / 有界領域 / 値分布論 / 双曲型多様体 / 複素直線 / ガウス写像 / spectral convergence / Gromov-Hausdorff convergence / Dirichlet spaces / spectra / heat kernels / energy forms / Laplace operators / Riemannian manifolds / グロモフハウスドルフ収束 / ポアンカレ不等式 / ラプラス作用素 / エネルギー形式 / ディリクレ空間 / スペクトル収束 / グロモフーハウスドルフ収束 / リーマン多様体 / divisor class group / Milnor number / terminal singulauty / value distrilution theony / rational singulerity / isoloted singularity / multiplicity / blowing up / 有理2重点 / 特異点除去 / 巡回被覆 / ブローイングアップ / セグレ積 / 因子類群 / ミルナー数 / 値分布理論 / 重複度 / ブローイング・アップ / the special log forms / the arithemetic genus / terminal singularities / the Segre product / conjecture of M.Reid / weighted blowing-ups / rational singularities / the normal graded rings / アデ-ル幾何学 / 多様体のホモトピー同値 / 正則曲線の一意性定理 / 因子的ブロ-イングアップ / 単純K3特異点 / ネバンリンナ理論 / 対数的微分形式 / 特異点の算術種数 / Segre積 / Reid予想の反例 / 重みつきブローイングアップ / 正規次数付環 / CR-invariant / automorphsm group / isolated singularity / adele geometry / algebraic group / automorphic form / uniqueness theorems / value distribution theory / CR-不変計量 / ア-デル幾何 / 正則曲線の一意的定理 / ポアンカレー予想 / アデール幾何学 / ラングの予想 / 複素線型微分方程式 / 一意性問題 / 代数的退化定理 / CR不変量 / 自己同型群 / アデール幾何 / 代数群 / 保型形式 / 一意性定理 / vertex / Schwarzian / Ricci curvature / scalar curvature / projective structure / Moebius geometry / conformal connection / confomal structure / 3次元多様体 / 極小曲面 / ヤン・ミルズ方程式 / ワイル構造 / スカラー曲率方程式 / 頂点 / シュワルツ微分 / リッチ曲率 / スカラー曲率 / 射影構造 / メビウス幾何 / 共形接続 / 共形構造 / 有界ラインハルト領域 / 弱擬凸境界点 / 正則固有写像 / ガロア群 / Cell構造 / 連続経路 / 準楕円型方程式 / 正則同値問題 / 複素エリプソイド / ホモトピー分類 / 玉河数 / ブロ-イングアップ / 末端的特異点 / 幾何種数 / 2次元正規特異点 / 連続加法的汎関数 / 放物型極小曲面 / 本質的自己共役性 / 双曲空間 / 楕円型作用素 / 退化準線型方程式 / 正則変換群 / 代数群の整数論 / 終着特異点 / 球バンドル / 小林双曲型 / 極小画面 / Gorenstein環 / 標準因子 / 特異点の幾何種数 / 双曲型多様体論 / 2次形式 / 中心拡大 / 岩沢理論 / Heegner point / 有理点 / 楕円曲線 Less
  • Research Projects

    (17 results)
  • Co-Researchers

    (28 People)
  •  Classification of higher dimensional hypersurface singularities in terms of non-degenerate complete intersections

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Convergence of Riemannian manifolds and Laplace operators

    • Principal Investigator
      KASUE Atsushi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kanazawa University
      Osaka City University
  •  Homotopy theoretical research of manifoldsPrincipal Investigator

    • Principal Investigator
      ISHIMOTO Hiroyasu
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
  •  Gemetric Structures on Manifolds and Global Analysis

    • Principal Investigator
      KOBAYASHI Osamu
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
      Nara Women's University
  •  Geometric Study of Complex Analysis

    • Principal Investigator
      FUJIMOTO Hirotaka
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University
  •  Algebro-geometric studies of rational singularities and related singularities by blowing-ups

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  有界領域の正則自己同型群による複素解析的構造の決定

    • Principal Investigator
      児玉 秋雄
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
  •  2次元及び3次元解析空間の特異点の可換環論

    • Principal Investigator
      泊 昌孝
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  複素解析空間の特異点の代数幾何

    • Principal Investigator
      泊 昌孝
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  双曲型多様体と自明でない複素直線を許容しない等質空間

    • Principal Investigator
      児玉 秋雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
  •  非線型楕円型偏微分方程式の研究

    • Principal Investigator
      林田 和也
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University
  •  双曲型多様体と自明でない複素直線を許容しない等質空間との関係

    • Principal Investigator
      KODAMA Akio
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
  •  中心拡大の整数論とその関連分野の研究

    • Principal Investigator
      古田 孝臣
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  楕円曲線の数理

    • Principal Investigator
      木田 祐司
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  微分可能多様体とその上の諸構造Principal Investigator

    • Principal Investigator
      石本 浩康
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  局所的に滑らかな境界を持つ有界領域の間の固有正則写像の研究

    • Principal Investigator
      児玉 秋雄
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  楕円型偏微分方程式の研究

    • Principal Investigator
      林田 和也
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University
  • 1.  FUJIMOTO Hirotaka (60023595)
    # of Collaborated Projects: 14 results
    # of Collaborated Products: 0 results
  • 2.  KODAMA Akio (20111320)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 3.  一瀬 孝 (20024044)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  TOMARI Masataka (60183878)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  林田 和也 (70023588)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 6.  HAYAKAWA Takayuki (20198823)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  MORISHITA Masanori (40242515)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 8.  古田 孝臣 (50019452)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  木田 祐司 (30113939)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  NAKAO Shintaro (90030783)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  小俣 正朗 (20214223)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  FUJIOKA Atsushi (30293335)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  KITAHARA Haruo (60007119)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  KATO Shin (10243354)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  IWASE Junichi (70183746)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  SUGANO Takashi (30183841)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  松村 昭孝 (60115938)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  高橋 茂 (30019434)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  KOBAYASHI Osamu (10153595)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  KATAGIRI Minyo (60263422)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  山下 靖 (70239987)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  小林 毅 (00186751)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  落合 豊行 (70016179)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  NOGUCHI Junjiro (20033920)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  高信 敏 (40197124)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  KASUE Atsushi (40152657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  KUMURA Hironori (30283336)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  橋本 義武 (20271182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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