Nakamura Yukio 中村幸男

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NAKAMURA Yukio 中村幸男

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Researcher Number	00308066
Other IDs
Affiliation (Current)	2023: 明治大学, 理工学部, 専任教授
Affiliation (based on the past Project Information) *help	2016: 明治大学, 理工学部, 専任教授 2012 – 2015: 明治大学, 理工学部, 教授 2011: 明治大学, 理工学部, 准教授 2002 – 2005: 明治大学, 理工学部, 助教授 2004: 明治大, 理工学部, 助教授 1998 – 2002: Meiji University, School of Science and Technology, Lecturer, 理工学部, 講師 2001: 明治大学, 理工学部, 教授
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Algebra
Keywords	Principal Investigator Rees環 / 整閉イデアル / 単純イデアル / Gorenstein環 / 2次元正則局所環 / 付値環 / tight closure / Cohen-Macaulay環 / F-rational / Gorenstein … More / 射影スキーム / トランスフォーム / Rees代数 / Grassmann代数 / Koszul complex / 不変式環 / 単項式イデアル / Stanley-Reisner 環 / Lefschetz 性 / Cohen-Macaulay / グラフ / 随伴次数環 / 三角圏 / 導来圏 / Stanley-Resner 環 / Lefschetz　性 / quiver / almost split sequence / Buchsbaum 性 / Stanley-Reisner イデアル / 辺イデアル / Ｌｅｆｓｃｈｅｔｚ性 / Ａｒｔｉｎ次数環 / 完全交叉 / regularity / shellable / vertex decomposable / ２部グラフ / sequentially C-M / Cohen-Macaulay 環 / Buchsbaum 環 / k-Buchsbaum 環 / 局所コホモロジー / 被約コホモロジー / マトロイド … More Except Principal Investigator Gorenstein環 / Rees代数 / Buchsbaum ring / Cohen-Macaulay ring / Gorenstein ring / Buchsbaun環 / 正準加群 / 随伴次数環 / S^1-manifold / ヒルベルト類体 / Cohen-Macaulay環 / canonical module / Rees algebra / associated graded ring / local cohomology / ジーゲル保型形式 / ヤコビ形式 / 代数幾何学 / リーマン・ロッホの公式 / 佐武コンパクト化 / Algebraic Geometry / Buchsbaum環 / index of reducibility / Cohen-macaulay環 / 随半次数環 / form ring / リーマン・ロッホの定理 / Siegel modular form / Jacobi form / Riemann-Roch formula / Satake compactification / Buchsbaun 環 / Cohen-Macaulay 環 / Gorenstein 環 / Rees 代数 / Noether局所環 / Buchsbaum局所環 / 整閉イデアル / 重複度 / 局所コホモロジー / Cohen-Macaulay局所環 / FLC局所環 / a-invariant / homological dimension / 射影次元 / 入射次元 / 正則局所環 / 優良イデアル / Noetheian algebra / Bass数 / FLC ring / multiplicity / system of parameters / 保型関数論 / 小平・中野の消滅定理 / Automorhic Function / Siegel Modular Form / Jacobi Form / Satake Compactification / チャウ郡 / グロタンディェク郡 / 数値的同値 / スタンダード予想 / 全座標間 / Cox環 / ヒルベルト・クンツ関数 / リーマン・ロッホ / デターミナント射 / 特異リーマン・ロッホ / グロタンディエク群 / チャウ群 / 局所環 / グロタンデイェク群 / 全座標環 / リース環 / 因子類群 / 素元分解環 / クルル環 / Chow group / Grothendieck group / numerical equivalence / standard conjectures / total coordinate ring / Cox ring / Hilbert-Kunz function / Riemann-Roch Less

Monomial ideals in polynomial ringsPrincipal Investigator
- Principal Investigator
  
  Nakamura Yukio
- Project Period (FY)
  2011 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Numerical equivalence on Chow groups of local rings and its applications
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Rees環のF-正則性とF-有理性に関する研究Principal Investigator
- Principal Investigator
  
  中村幸男
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
A Study on Jacobi Forms by a Method of Algebraic Geometry
- Principal Investigator
  
  TSUSHIMA Ryuji
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  MEIJI UNIVERSITY
Study of Blowing-up rings
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Rees環と随伴次数環のBuchsbaum性に関する研究Principal Investigator
- Principal Investigator
  
  中村幸男
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Study of blow-up rings
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  MEIJI UNIVERSITY
A study of Siegel modular forms of half integral weight by a method of algebraic geometry
- Principal Investigator
  
  INATOMI Akira, 対馬龍司
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Study of Rees algebras and form rings
- Principal Investigator
  
  GOTO Shiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University

All 2014 2011 2002

All Journal Article

[Journal Article] On the k-Buchsbaum property of powers of Stanley-Reisner ideals2014
- Author(s)
  Nguyen Cong Minh and Yukio Nakamura
- Journal Title
  
  Nagoya Math. J.
  
  Volume: 213 Pages: 127-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540060
[Journal Article] A note on the k-Buchsbaum property of symbolic powers of Stanley-Reisner ideals2011
- Author(s)
  N. C. Minh - 中村幸男
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: ３４ Pages: 221-228
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540060
[Journal Article] The bound of the difference between parameter ideals and their tight closures2002
- Author(s)
  Yukio Nakamura, S.Goto
- Journal Title
  
  Tokyo J.Math. 25, no.1
  
  Pages: 41-48
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540047
[Journal Article] The bound of the difference between parameter ideals and their tight closures2002
- Author(s)
  後藤四郎, 中村幸男
- Journal Title
  
  Tokyo J.Math. 25(1)
  
  Pages: 41-48
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540047

1. GOTO Shiro (50060091)

# of Collaborated Projects: 6 results

# of Collaborated Products: 2 results
2. INATOMI Akira (20061872)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. TSUSHIMA Ryuji (20118764)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. KAMOI Yuji (80308064)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. KURANO Kazuhiko (90205188)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. IAI Shinichirou (50333125)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. YAMAGISHI Kikumichi (10200601)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. SHIMODA Yasuhiro (10226277)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. SATO Atsushi (70178705)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. HAYASAKA Futoshi (20409460)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. SAKURAI Hideto (00409450)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 阿原一志 (80247147)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 服部晶夫 (80011469)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 桂田祐史 (80224484)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 川崎健 (40301410)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. HIGASHIDAIRA Hirotaka

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. KAWAMURA Masaya

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. Nguen Cong Minh

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Nakamura Yukio 中村 幸男

NAKAMURA Yukio 中村 幸男

Research Projects

Research Products

Co-Researchers

Monomial ideals in polynomial ringsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Numerical equivalence on Chow groups of local rings and its applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Rees環のF-正則性とF-有理性に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A Study on Jacobi Forms by a Method of Algebraic Geometry

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Blowing-up rings

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Rees環と随伴次数環のBuchsbaum性に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of blow-up rings

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A study of Siegel modular forms of half integral weight by a method of algebraic geometry

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Rees algebras and form rings

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On the k-Buchsbaum property of powers of Stanley-Reisner ideals2014

Author(s)

Journal Title

Data Source

[Journal Article] A note on the k-Buchsbaum property of symbolic powers of Stanley-Reisner ideals2011

Author(s)

Journal Title

Data Source

[Journal Article] The bound of the difference between parameter ideals and their tight closures2002

Author(s)

Journal Title

Description

Data Source

[Journal Article] The bound of the difference between parameter ideals and their tight closures2002

Author(s)

Journal Title

Description

Data Source

Nakamura Yukio 中村幸男

NAKAMURA Yukio 中村幸男