Tanimoto Ryuji 谷本龍二

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TANIMOTO Ryuji 谷本龍二

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Researcher Number	20547062
Other IDs
External Links
Affiliation (Current)	2025: 静岡大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2018: 静岡大学, 教育学部, 准教授 2010 – 2012: 静岡大学, 教育学部, 准教授
Review Section/Research Field	Principal Investigator Algebra Except Principal Investigator Algebra
Keywords	Principal Investigator 有限巡回群 / グレブナー基底 / 計算不変式論 / モジュラー不変式論 Except Principal Investigator 標数位数自己同型 / 順部分群 / Hilbertの第14問題 / 多項式自己同型 / レンチュラー・宮西の定理 / 余順自己同型 … More / ヒルベルトの第14問題 / 加法群作用 / 安定余順自己同型 / 自己同型写像 / 多項式環 Less

Structural analysis of the automorphism group of a polynomial ring and its application
- Principal Investigator
  
  Kuroda Shigeru
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Modular invariant theory of finite cyclic groupsPrincipal Investigator
- Principal Investigator
  
  TANIMOTO Ryuji
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Shizuoka University

All 2018 2017 2016 2015 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] Pseudo-derivations and modular invariant theory2017
- Author(s)
  Ryuji Tanimoto
- Journal Title
  
  Transform. Groups
  
  Volume: 23 Issue: 1 Pages: 271-297
- DOI
  10.1007/s00031-017-9461-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04826
[Journal Article] A note on the Weitzenbock problem in dimension four2017
- Author(s)
  Ryuji Tanimoto
- Journal Title
  
  Communications in Algebra
  
  Volume: 46 Issue: 2 Pages: 588-596
- DOI
  10.1080/00927872.2017.1324871
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04826
[Journal Article] A note on the Weitzenb\"ock problem in dimensino four2017
- Author(s)
  Ryuji Tanimoto
- Journal Title
  
  第38回可換環論シンポジウム報告集
  
  Volume: 38 Pages: 16-20
- Data Source
  KAKENHI-PROJECT-15K04826
[Journal Article] The image membership algorithm for twisted derivations in modular invariant theory2012
- Author(s)
  谷本龍二
- Journal Title
  
  Saitama Mathematical Journal
  
  Volume: 29 Pages: 55-64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740009
[Journal Article] The image membership algorithm for twisted derivations in modular invariant theory2012
- Author(s)
  Ryuji Tanimoto
- Journal Title
  
  Saitama Mathematical Journal
  
  Volume: 29
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] Exponential matrices in positive characteristic2018
- Author(s)
  R. Tanimoto
- Organizer
  Polynomial Rings and Affine Algebraic Geometry (PRAAG2018)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] A note on the Weitzenb\"ock problem in dimension four2017
- Author(s)
  谷本龍二
- Organizer
  第9回多項式環論セミナー
- Place of Presentation
  首都大学東京（東京都・八王子市）
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] Modular invariant rings for p-cyclic group actions2017
- Author(s)
  R. Tanimoto
- Organizer
  第39回可換環論シンポジウム
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] A note on the Weitzenb\"ock problem in dimension four2017
- Author(s)
  谷本龍二
- Organizer
  The 15th Affine Algebraic Geometry Meeting
- Place of Presentation
  関西学院大学梅田キャンパス（大阪市・北区）
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] Pseudo-derivations and modular invariant theory2017
- Author(s)
  谷本龍二
- Organizer
  第10回多項式環論セミナー
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] 正標数の加法群スキームの表現2017
- Author(s)
  谷本龍二
- Organizer
  新潟代数セミナー
- Place of Presentation
  新潟大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] 正標数の加法群スキームの4次表現2016
- Author(s)
  谷本龍二
- Organizer
  射影多様体の幾何とその周辺
- Place of Presentation
  高知工科大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] On triangular automorphisms of the polynomial ring in three variables over a field of positive characteristic2016
- Author(s)
  Ryuji Tanimoto
- Organizer
  The 14th Affine Algebraic Geometry Meeting
- Place of Presentation
  関西学院大学（大阪・梅田）
- Year and Date
  2016-03-05
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] A note on the Weitzenb\"ock problem in dimension four2016
- Author(s)
  谷本龍二
- Organizer
  第38回可換環論シンポジウム(The 9th Japan-Vietnam Joint Seminar on Commutative Algebra)
- Place of Presentation
  IPC生産性国際交流センター（神奈川県・葉山町湘南国際村）
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] 正標数の加法群スキームの表現と基本アーベルp群のモジュラー表現2016
- Author(s)
  谷本龍二
- Organizer
  第8回多項式環論セミナー
- Place of Presentation
  静岡大学（静岡市・駿河区）
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] On the representations of the additive group of an algebraically closed field of positive characteristic2016
- Author(s)
  Ryuji Tanimoto
- Organizer
  The 7th Polynomial Ring Seminar
- Place of Presentation
  首都大学東京（東京・八王子）
- Year and Date
  2016-02-19
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] Modular invariant rings of cyclic groups of prime order2015
- Author(s)
  谷本龍二
- Organizer
  The 37th Japan Symposium on Commutative Algebra
- Place of Presentation
  倉敷シーサイドホテル（岡山・倉敷）
- Year and Date
  2015-11-21
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] Linear Ga-actions on a polynomial ring of positive characteristic2015
- Author(s)
  谷本龍二
- Organizer
  第6回多項式環論セミナー
- Place of Presentation
  静岡大学（静岡・駿河区）
- Year and Date
  2015-08-19
- Data Source
  KAKENHI-PROJECT-15K04826
[Presentation] 対称式の第一基本定理から計算不変式論へ2013
- Author(s)
  谷本龍二
- Organizer
  長岡高専数学談話会
- Place of Presentation
  長岡工業高等専門学校
- Year and Date
  2013-03-08
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] The image membership algorithm for twisted derivations in modular invariant theory2012
- Author(s)
  谷本龍二
- Organizer
  グレブナー若手集会
- Place of Presentation
  慶應義塾大学
- Year and Date
  2012-07-14
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 有限巡回群の計算不変式論(I)2012
- Author(s)
  谷本龍二
- Organizer
  グレブナー若手集会
- Place of Presentation
  静岡大学理学部C棟215
- Year and Date
  2012-02-17
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 素数位数の自己同型に付随するねじれ微分の像について2012
- Author(s)
  谷本龍二
- Organizer
  第2回多項式環論セミナー
- Place of Presentation
  静岡大学
- Year and Date
  2012-08-21
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 有限巡回群の計算不変式論(II)2012
- Author(s)
  谷本龍二
- Organizer
  グレブナー若手集会
- Place of Presentation
  静岡大学理学部C棟215
- Year and Date
  2012-02-17
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 有限巡回群の計算不変式論(I)2012
- Author(s)
  谷本龍二
- Organizer
  グレブナー若手集会
- Place of Presentation
  静岡大学
- Year and Date
  2012-02-17
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] On modular invariants of p-cyclic groups2012
- Author(s)
  谷本龍二
- Organizer
  第9回アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学大阪梅田キャンパス1405教室
- Year and Date
  2012-03-14
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] On modular invariants of p-cyclic groups2012
- Author(s)
  谷本龍二
- Organizer
  第9回アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学
- Year and Date
  2012-03-14
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] ねじれ微分の像への所属判定アルゴリズムについて2012
- Author(s)
  谷本龍二
- Organizer
  第10回アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学
- Year and Date
  2012-09-06
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 有限巡回群の計算不変式論(II)2012
- Author(s)
  谷本龍二
- Organizer
  グレブナー若手集会
- Place of Presentation
  静岡大学
- Year and Date
  2012-02-17
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 有限群の計算不変式論2011
- Author(s)
  谷本龍二
- Organizer
  第1回多項式環論セミナー
- Place of Presentation
  静岡県コンベンションアーツセンター会議室903
- Year and Date
  2011-08-11
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 有限群の計算不変式論2011
- Author(s)
  谷本龍二
- Organizer
  第1回多項式環論セミナー
- Place of Presentation
  静岡県コンベンションアーツセンター
- Year and Date
  2011-08-11
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 正標数のアフィン空間へのG_a作用について2011
- Author(s)
  谷本龍二
- Organizer
  第16回代数学若手研究会
- Place of Presentation
  筑波大学(茨城県)
- Year and Date
  2011-03-08
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] Computational invariant theory for cyclic groups2011
- Author(s)
  谷本龍二
- Organizer
  射影多様体の幾何とその周辺 2011
- Place of Presentation
  高知大学
- Year and Date
  2011-11-03
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] Wild p-cyclic group actions on algebras over fields of positive characteristic p2011
- Author(s)
  谷本龍二
- Organizer
  第8回アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学大阪梅田キャンパス1405教室
- Year and Date
  2011-09-02
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 正標数のアフィン空間へのG_ 作用について2011
- Author(s)
  谷本龍二
- Organizer
  第16回代数学若手研究会
- Place of Presentation
  筑波大学
- Year and Date
  2011-03-08
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] Computational invariant theory for cyclic groups2011
- Author(s)
  谷本龍二
- Organizer
  射影多様体の幾何とその周辺2011
- Place of Presentation
  高知大学理学部数学大セミナー室
- Year and Date
  2011-11-03
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] Wild p-cyclic group actions on algebras over fields of positive characteristic p2011
- Author(s)
  谷本龍二
- Organizer
  第8回アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学
- Year and Date
  2011-09-02
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] ねじれ微分の像への所属判定アルゴリズムについて
- Author(s)
  谷本　龍二
- Organizer
  第10回アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学　大阪梅田キャンパス　１４０５教室　（大阪府）
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 対称式の第一基本定理から計算不変式論へ
- Author(s)
  谷本　龍二
- Organizer
  長岡高専数学談話会
- Place of Presentation
  長岡工業高等専門学校　４２０講義室　（新潟県）
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] 素数位数の自己同型に付随するねじれ微分の像について
- Author(s)
  谷本　龍二
- Organizer
  第2回多項式環論セミナー
- Place of Presentation
  静岡大学　教育学部Ｉ棟４１２室　（静岡県）
- Data Source
  KAKENHI-PROJECT-22740009
[Presentation] The image membership algorithm for twisted derivations in modular invariant theory
- Author(s)
  谷本　龍二
- Organizer
  グレブナー若手集会
- Place of Presentation
  慶應義塾大学矢上キャンパス１４棟（創想館）６３１Ａ／Ｂ室　（神奈川県）
- Data Source
  KAKENHI-PROJECT-22740009

1. Kuroda Shigeru (70453032)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. Kojima Hideo (90332824)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Tanimoto Ryuji 谷本 龍二

TANIMOTO Ryuji 谷本 龍二

Research Projects

Research Products

Co-Researchers

Structural analysis of the automorphism group of a polynomial ring and its application

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Modular invariant theory of finite cyclic groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Pseudo-derivations and modular invariant theory2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A note on the Weitzenbock problem in dimension four2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A note on the Weitzenb\"ock problem in dimensino four2017

Author(s)

Journal Title

Data Source

[Journal Article] The image membership algorithm for twisted derivations in modular invariant theory2012

Author(s)

Journal Title

Data Source

[Journal Article] The image membership algorithm for twisted derivations in modular invariant theory2012

Author(s)

Journal Title

Data Source

[Presentation] Exponential matrices in positive characteristic2018

Author(s)

Organizer

Data Source

[Presentation] A note on the Weitzenb\"ock problem in dimension four2017

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] Modular invariant rings for p-cyclic group actions2017

Author(s)

Organizer

Data Source

[Presentation] A note on the Weitzenb\"ock problem in dimension four2017

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] Pseudo-derivations and modular invariant theory2017

Author(s)

Organizer

Data Source

[Presentation] 正標数の加法群スキームの表現2017

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] 正標数の加法群スキームの4次表現2016

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] On triangular automorphisms of the polynomial ring in three variables over a field of positive characteristic2016

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] A note on the Weitzenb\"ock problem in dimension four2016

Author(s)

Organizer

Tanimoto Ryuji 谷本龍二

TANIMOTO Ryuji 谷本龍二