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SAITO Hiroshi  斎藤 博

ORCIDConnect your ORCID iD *help
… Alternative Names

齊藤 博  サイトウ ヒロシ

斉藤 博  サイトウ ヒロシ

齋藤 博  サイトウ ヒロシ

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Researcher Number 80135293
Other IDs
Affiliation (based on the past Project Information) *help 2000 – 2003: 名古屋大学, 大学院・多元数理科学研究科, 助教授
1996 – 1998: 名古屋大学, 大学院・多元数理科学研究科, 助教授
1997: Nagoya University, Graduate School of Polymathematics, Assoc.Prof., 大学院多元数理科学研究科, 助教授
1995: 名古屋大学, 多元数理科学研究科, 助教授
1991 – 1994: 金沢大学, 教養部, 助教授
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学
Keywords
Principal Investigator
Horroch-Mumford / thete function / abelian surface / period map / louuded syumelric domain / geometric invariant theory / moduli space / トーラス埋込 / Brill-Noether理論 / モジュライ … More / ホロックス・マンフォードベクトル式 / パンルベ方程式 / ファノ多様体 / テ-タ関数 / Horrocks-Mumfordベクトル束 / ラ-タ関数 / アーベル曲面 / 周期写像 / 有界対称領域 / 幾何学的不変式論 / モジュライ空間 / コホモロジー / 消滅サイクル / 交叉理論 / Chow群 / 代数多様体 … More
Except Principal Investigator
代数的サイクル / twistedドラム理論 / Chow群 / Hodge理論 / 高次Abel-Jacobi写像 / 高次チャウ群 / ベイリンソン予想 / 混合モチーフ / ホッヂ理論 / P進ホッヂ理論 / 高次元類体論 / モジュライ空間 / Freud weight / 交点理論 / ロンスキアン / twistedサイクル / オイラー型積分表示 / 超幾何函数 / resolution of singularities / Kato conjecture / finiteness conjecture / motivic cohomology / 高次アーベルヤコビ写像 / Beilinson予想 / Bloch-加藤予想 / P進Hodge理論 / 高次Chow群 / Chow群の有限性 / p進Hodge理論 / 特異点解消 / 加藤予想 / 有限性予想 / モチフィックコホモロジー / logarithmic Torelli problem / higher Chow groups / Beilinson conjectures / mixed motives / higher Abel-Jaoci map / Hodge theory / p-adic Hodge theory / higer class field theory / algebraic cycles / (8)Abelの定理 / (7)周期写像 / (6)K群 / (5)Torelli問題 / (4)特異点 / モチフィック・コホモロジー / Abelの定理の高次元化 / P-進Hodye理論 / Hodye理論 / モチーフ / 高次アーベル・ヤコビ写像 / K3 surface / fundamental domain / Hilbert's 14th problem / conformal block / Verlinde formula / invariant / vector bundle / moduli / 佐武のコンパクト化 / 正多面体群 / フーベル曲面 / テータ関数 / 佐武コンパクト化 / アーベル曲面 / ラータ関数 / 有界対称領域 / trisecant line公式 / Brill-Noether理論 / 不変式論 / Hodeg予想 / K3曲面 / 基本領域 / Hilbertの第14問題 / 共形ブロック / Verlinde公式 / 不変式 / ベクトル束 / モジュライ / パシルベ方程式 / ファノ多様体 / モノドロミ-保存変形 / 代数多様体の退化 / アフィンリー環 / 有理2重点 / 有理曲面 / Baecklund変換 / Painleve方程式 / diflusion prosess / Laguerre series / 双対性 / 外積構造 / 超幾何関数 / 端数積分 / ラゲール多項式 / フロイト多項式 / エルミート・フェイエール補間 / 超函数の積 / 補間多項式 / 単項写像 / 拡散方程式の基本解 / エルミート型式 / モノドロミー / サブ・リ-マン構造 / 2階偏微分作用素 / Levy測度 / 特殊関数 / ラプラシァン Less
  • Research Projects

    (12 results)
  • Research Products

    (23 results)
  • Co-Researchers

    (32 People)
  •  Algebraic Cycles and Higher Abel-Jacobi map

    • Principal Investigator
      SAITO Shuji
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Graduate School of Mathematical Sciences, University of Tokyo
      Nagoya University
  •  Algebraic Cycles on Algebraic Varieties

    • Principal Investigator
      SAITO Shuji
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
      Tokyo Institute of Technology
  •  Study of moduli spaces, and K3 moonshine

    • Principal Investigator
      MUKAI Shigeru
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERCITY
      Nagoya University
  •  無限次元射影的代数幾何学の試み

    • Principal Investigator
      梅村 浩
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Study of moduli spaces -compactification and period mapPrincipal Investigator

    • Principal Investigator
      SAITO Hiroshi, 向井 茂
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  多変数超幾何関数の研究

    • Principal Investigator
      勘甚 裕一
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University
  •  多変数超幾何関数とその周辺の研究

    • Principal Investigator
      喜多 通武
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University
  •  代数多様体上の代数的サイクルPrincipal Investigator

    • Principal Investigator
      齊藤 博
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  種々の直交多項式にかかわる調和解析

    • Principal Investigator
      勘甚 裕一
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kanazawa University
  •  多変数超幾何函数とその周辺の研究

    • Principal Investigator
      喜多 通武
    • Project Period (FY)
      1992
    • Research Institution
      Kanazawa University
  •  境界条件をもつ拡散方程式の研究(特に基本解の構成)とその応用

    • Principal Investigator
      土屋 正明
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanazawa University
  •  開いたリ-マン多様体のスペクトル幾何学

    • Principal Investigator
      北原 晴夫
    • 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

All 2006 2004 2003 2002 Other

All Journal Article

  • [Journal Article] Ramification theory for varieties over a perfect field2006

    • Author(s)
      T.Saito, K.Kato
    • Journal Title

      Annales of Math. (To appear)

    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Beilinson's Hodge conjecture with coefficient for open complete intersections2006

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      the proceedings of Workshop Algebraic Cycles and Motives, EAGER Conerence 2004 in Leiden in honor of Prof.J.Murre. (To appear)

    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Beilinson's Hodge conjecture with coefficient for open complete intersections2006

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      Mathematical Lecture Series of the London Mathematical Society (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Beilinson's Hodge conjecture for open complete intersections, I2006

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      Mathematische Zeitschrift 252

      Pages: 251-273

    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Noether-Lefschetz locus for Beilinson-Hodge cycles I2006

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      Math. Zeit. 279

      Pages: 5-37

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Generalized Jacobian rings for open complete intersections2006

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      Mathematische Nachrichten 279

      Pages: 5-37

    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Noether-Lefschetz locus for Beilinson-Hodge cycles I2006

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      Math.Zeit. 279

      Pages: 5-37

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Generalized Jacobian rings for open complete intersections2006

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      Math.Nachr. 279

      Pages: 5-37

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] On the conductor formula of Bloch2004

    • Author(s)
      K.Kato, T.Saito
    • Journal Title

      Publications Mathematiques, IHES 100

      Pages: 5-151

    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Beilinson's Hodge and Tate conjectures2004

    • Author(s)
      S.Saito
    • Journal Title

      London Math.Society Lecture Note Series 313

      Pages: 276-289

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Beilinson's Hodge and Tate conjectures2004

    • Author(s)
      S.Saito
    • Journal Title

      London Math. Society Lecture Note Series 313

      Pages: 276-289

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] On $K_1$ and $K_2$ of algebraic surfaces2003

    • Author(s)
      S.M\"uller-Stach, S.Saito
    • Journal Title

      $K$-Theory 30

      Pages: 37-69

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Kato homology of arithmetic schemes and higher class field theory over local fields2003

    • Author(s)
      U.Jannsen, S.Saito
    • Journal Title

      Documenta Math.Extra Volume : Kazuya Kato's Fiftieth Birthday

      Pages: 479-538

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] On K_1 and K_2 of algebraic surfaces2003

    • Author(s)
      S.Muller-Stach, S.Saito
    • Journal Title

      K-Theory 30

      Pages: 37-69

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] On $K_1$ and $K_2$ of algebraic surfaces2003

    • Author(s)
      S.M"uller-Stach, S.Saito
    • Journal Title

      $K$-Theory 30

      Pages: 37-69

    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Kato homology of arithmetic schemes and higher class field theory over local fields2003

    • Author(s)
      U.Jannsen, S.Saito
    • Journal Title

      Documenta Math.Extra Volume : Kazuya Kato's Fiftieth Birthday Extra Volume

      Pages: 479-53

    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Kato homology of arithmetic schemes and higher class field thenry over local fields2003

    • Author(s)
      U.Jannsen, S.Saito
    • Journal Title

      Documenta Math. Extra Volume : Kazuya Kato's Fiftieth Birthday

      Pages: 479-538

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Infinitesimal logarithmic Torelli problem for degenerating hypersurfaces in P^n2002

    • Author(s)
      S.Saito
    • Journal Title

      Advanced Studies in Pure Math. 36

      Pages: 401-434

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Higher normal functions and Griffiths groups2002

    • Author(s)
      S.Saito
    • Journal Title

      J.of Algebraic Geometry 11

      Pages: 161-201

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Infinitesimal logarithmic Torelli Problem for degenerating hypersurfaces in $\Bbb P^n$2002

    • Author(s)
      S.Saito
    • Journal Title

      Advanced Studies in Pure Math. 36

      Pages: 401-434

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Generalized Jacobian rings for open complete intersections

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      Math.Nachr. (To appear)

    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Beilinson's Hodge conjecture for open complete intersections, I

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      Math.Zeit. (To appear)

    • Data Source
      KAKENHI-PROJECT-14340009
  • [Journal Article] Beilinson's Hodge conjecture with coefficient for open complete intersections

    • Author(s)
      M.Asakura, S.Saito
    • Journal Title

      To appear in Math. Lecture Series of the London Math. Society

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340009
  • 1.  土谷 正明 (50016101)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  勘甚 裕一 (50091674)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  喜多 通武 (50053707)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  北原 晴夫 (60007119)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  渡辺 力 (50019478)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  KONDO Shigeyuki (50186847)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  MUKAI Shigeru (80115641)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  NAMIKAWA Yukihiko (20022676)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  FUJIWARA Kazuhiro (00229064)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  SAITO Shuji (50153804)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 23 results
  • 11.  HASHIMOTO Mitsuyasu (10208465)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  TERANISHI Yasuo (20115603)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  KOBAYASHI Ryoichi (20162034)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  MATSUMOTO Koji (60192754)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  半沢 英一 (80142686)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  梅村 浩 (40022678)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  佐藤 周友 (50324398)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  TANIGAWA Yoshio (50109261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  NAITO Hisashi (40211411)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  NAKAYAMA Noboru (10189079)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  SAITO Masa-hiko (80183044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  FUJINO Osamu (60324711)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  SAITO Takeshi (70201506)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 23 results
  • 24.  KATSURA Toshiyuki (40108444)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  MIYAOKA Yoichi (50101077)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  大沢 健夫 (30115802)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  行者 明彦 (50116026)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  石井 志保子 (60202933)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  黒川 信重 (70114866)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  藤田 隆夫 (40092324)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  中山 能力 (70272664)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  辻 元 (30172000)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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