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

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

Takayama Yukihide 高山 幸秀

TAKAYAMA Yukihide 高山 幸秀

Research Projects

Research Products

Co-Researchers

Calabi-Yau threefolds in positive characteristic and related problemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

study of commutative rings of positive characteristic using vector bundlesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on multiplier ideals from the point of view of commutative ring theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Characteristic p method approaches to generalized Cohen-Macaulay ringsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

Study of universal Grobner bases of zero-dimensional lattice ideals

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mathematical study of Constructive Concurrent and Distributed Programm systemPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Stochastic Analysis and Asymptotics

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

確率解析と関連の諸問題

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Kodaira type vanishing theorem for the Hirokado variety2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Raynaud-Mukai construction and Calabi-Yau 3-folds in positive characteristic2012

Author(s)

Journal Title

Data Source

[Journal Article] Generalized Complete Intersections with Linear Resolutions2008

Author(s)

Journal Title

Data Source

[Journal Article] Generalized complete intersections2007

Author(s)

Journal Title

Takayama Yukihide 高山幸秀

TAKAYAMA Yukihide 高山幸秀