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Takayama Yukihide  高山 幸秀

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TAKAYAMA Yukihide  高山 幸秀

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Researcher Number 20247810
Other IDs
Affiliation (Current) 2025: 立命館大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help 2010 – 2015: 立命館大学, 理工学部, 教授
2003 – 2008: 立命館大学, 理工学部, 教授
1995 – 1998: 立命館大学, 理工学部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
代数幾何学 / 小平消滅定理 / 可換環論 / 代数学 / 持ち上げ可能性 / 正標数 / 局所コホモロジー / 組合せ論 / 単項式イデアル / tight closure … More / monomial ideal / minimal free resolution / combinatorics / commutative ring theory / F-特異点 / generalized Cohen-Macaulay環 / 密着閉包 / 極小自由分解 / computer algebra / concurrency theory / constructive programming / 計算機代数 / 並列計算モデル / 構成的プログラミング / 小平型消滅定理 / Calabi-Yau3次元多様体 / 代数的基本群 / Calabi-Yau多様体 / 双有理幾何学 / 特異点理論 / Calabi-Yau 3-fold / ベクトルバンドル / 代数多様体 / 標数p手法 / 正標数の代数幾何学 … More
Except Principal Investigator
整数計画 / グレブナー基底 / 有限グラフ / Van Vleckの公式 / Wiener積分 / 確率解析 / Initial Ideal / Toric Ideal / Finite Graph / Corner Polytope / Integer Programming / Lattice Ideal / Universal Grobner Basis / Grobner Basis / corner polyhedron / Gomory relaxation / 組合せ最適化問題 / 符号理論 / 隣接行列 / イニシャルイデアル / トーリックイデアル / 端凸多面体 / ラティスイデアル / 普遍グレブナー基底 / Selberg trance formula / local time / Jacobi field / Van Vleck formula / path integral / Wiener integral / stochastic analysis / Wiener測度 / Selbergの跡公式 / 局所時間 / Jacobi場 / 経路積分 / 統計数学 / 有限自由分解 / アルゴリズム / 0次元ラティスイデアル / 可換代数 / 磁場を持つSchrodinger作用素 / 漸近理論 / Malliavin解析 Less
  • Research Projects

    (9 results)
  • Research Products

    (17 results)
  • Co-Researchers

    (15 People)
  •  Calabi-Yau threefolds in positive characteristic and related problemsPrincipal Investigator

    • Principal Investigator
      Takayama Yukihide
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ritsumeikan University
  •  study of commutative rings of positive characteristic using vector bundlesPrincipal Investigator

    • Principal Investigator
      TAKAYAMA Yukihide
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ritsumeikan University
  •  Study on multiplier ideals from the point of view of commutative ring theoryPrincipal Investigator

    • Principal Investigator
      TAKAYAMA Yukihide
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ritsumeikan University
  •  Characteristic p method approaches to generalized Cohen-Macaulay ringsPrincipal Investigator

    • Principal Investigator
      TAKAYAMA Yukihide
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ritsumeikan University
  •  グレブナー基底の理論的有効性と実践的有効性についての国際研究集会の企画調査

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Study of universal Grobner bases of zero-dimensional lattice ideals

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Mathematical study of Constructive Concurrent and Distributed Programm systemPrincipal Investigator

    • Principal Investigator
      TAKAYAMA Yukihide
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ritsumeikan University
  •  Stochastic Analysis and Asymptotics

    • Principal Investigator
      IKEDA Nobuyuki
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ritsumeikan University
  •  確率解析と関連の諸問題

    • Principal Investigator
      IKEDA Nobuyuki
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ritsumeikan University

All 2015 2014 2012 2008 2007 2005

All Journal Article

  • [Journal Article] On Kodaira type vanishing for Calabi-Yau threefolds in positive characteristic2015

    • Author(s)
      Yukihide Takayama
    • Journal Title

      Beitraege zur Algebra und Geometrie

      Volume: 印刷中 Issue: 1 Pages: 1-11

    • DOI

      10.1007/s13366-015-0235-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400056
  • [Journal Article] Kodaira type vanishing theorem for the Hirokado variety2014

    • Author(s)
      Yukihide Takayama
    • Journal Title

      Communications in Algebra

      Volume: 42 Issue: 11 Pages: 4744-4750

    • DOI

      10.1080/00927872.2013.823546

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400056
  • [Journal Article] Raynaud-Mukai construction and Calabi-Yau 3-folds in positive characteristic2012

    • Author(s)
      Y. Takayama
    • Journal Title

      Proceedings of American Mathematical Society

      Volume: Vol.140, No.12 Pages: 4063-4074

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540056
  • [Journal Article] Generalized Complete Intersections with Linear Resolutions2008

    • Author(s)
      M. Okudaira and Y. Takayama
    • Journal Title

      Archive der Mathematik (Basel) 採録決定 Volume 90,Number 5

      Pages: 385-394

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540059
  • [Journal Article] Generalized complete intersections2007

    • Author(s)
      S.Goto, M.Okudaira, Y.Takayama
    • Journal Title

      Proceedings of the 28^<th> Symposium on Commutative Ring Theory

      Pages: 111-115

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] Monomial ideals with linear quotients whose Taylor Resolutions are minimal2007

    • Author(s)
      M.Okudaira, Y.Takayama
    • Journal Title

      Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie 50(98)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] On vanishing and non-vanishing degrees of local cohomologies of graded isolated non F-rational singularities2007

    • Author(s)
      Y.Takayama
    • Journal Title

      Proceedings of the 28^<th> Symposium on Commutative Ring Theory

      Pages: 116-129

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] On vanishing and non-vanishing degrees of local cohomologies Of graded isolated non F-rational singularities2007

    • Author(s)
      Y.Takayama
    • Journal Title

      第28回可換環論シンポジウム報告集

      Pages: 116-129

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] Component wise linear ideals with minimal or maximal Betti numbers2007

    • Author(s)
      J.Herzog, T.Hibi, S.Murai, Y.Takayama
    • Journal Title

      Arkiv foer Matematik

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] Stanley-Reisner ideals whose powers have finite length cohomologies2007

    • Author(s)
      S.Goto, Y.Takayama
    • Journal Title

      Proceedings of the American Mathematical Society 135 (8)

      Pages: 2355-2364

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] Generalized complete intersections2007

    • Author(s)
      S.Goto, M.Okudaira, Y.Takayama
    • Journal Title

      第28回可換環論シンポジウム報告集

      Pages: 111-115

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] Generalized complete intersections2007

    • Author(s)
      奥平崇貴, 後藤四郎, 高山幸秀
    • Journal Title

      第28回可換環論シンポジウム

      Pages: 111-115

    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] Monomial ideals with linear quotients whose Taylor resolutions are mimimal2007

    • Author(s)
      奥平崇貴, 高山幸秀
    • Journal Title

      Bull.Math.Soc.Sci.Math.Roumanie 50(98)

      Pages: 161-167

    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] On vanishing and non-vanishing degrees of local cohomologies of graded isolated non F-rational singularities2007

    • Author(s)
      高山幸秀
    • Journal Title

      第28回可換環論シンポジウム

      Pages: 116-129

    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] Stanley-Reisner ideals whose powers have finite length cohomologies2007

    • Author(s)
      S.Goto, Y.Takayama
    • Journal Title

      Proceedings of the American Mathematical Society 135(8)

      Pages: 2355-2364

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] Stanley-Reisner ideals whose powers have finite length cohomologies2007

    • Author(s)
      後藤四郎, 高山幸秀
    • Journal Title

      Proc.Amer.Math.Soc.

      Pages: 2355-2364

    • Data Source
      KAKENHI-PROJECT-17540049
  • [Journal Article] Combinatorial characterizations of generalized Cohen-Macaulay monomial ideals2005

    • Author(s)
      Yukihide Takayama
    • Journal Title

      Bull.Math.Soc.Sci.Math.Roumanie(N.S.) 48(96)no.3

      Pages: 397-408

    • Data Source
      KAKENHI-PROJECT-17540049
  • 1.  IKEDA Nobuyuki (00028078)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 2.  NATSUME Toshikazu (00125890)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  ARAI Masharu (20066715)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  YAMADA Toshio (10037749)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  HIBI Takayuki (80181113)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  MATSUI Yasuko (10264582)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  OHSUGI Hidefumi (80350289)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  SAITO Mutsumi (70215565)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  TERAI Naoki (90259862)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  山田 修宣 (70066744)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  SHI'NYA Hitoshi (70036416)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  NARUKI Isao (90027376)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  DOI Koji (20025290)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  HARA Keisuke (30298715)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  SATO Yosuke (50257820)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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