Takahashi Takeshi 高橋剛

… Alternative Names

TAKAHASHI Takeshi 高橋剛

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Researcher Number	60390431
Other IDs	https://orcid.org/0000-0002-9519-1721
Affiliation (Current)	2025: 新潟大学, 自然科学系, 准教授
Affiliation (based on the past Project Information) *help	2025: 新潟大学, 自然科学系, 准教授 2014 – 2023: 新潟大学, 自然科学系, 准教授 2014: 新潟大学, 工学部, 准教授 2013: 長岡工業高等専門学校, 一般教育科, 准教授 2011: 長岡工業高等専門学校, 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra
Keywords	Principal Investigator 準ガロア点 / ガロア点 / ガロア・ワイエルシュトラス点 / 自己同型群 / 弱ガロア・ワイエルシュトラス点 / 同時ガロア点 / ガロア直線 / 代数関数体の内部構造 / 代数曲線 / 代数関数体 … More / 射影 / 弱ガロワ・ワイエルシュトラス点 / 準ガロワ点 / 射影的代数曲線 / 射影代数多様体の自己同型群 / 代数多様体の自己同型 / ２元生成ワイエルシュトラス半群 / ワイエルシュトラス点 / ガロア被覆 / ガロア理論 / 射影的超曲面 / ガロワ・ワイエルシュトラス点 / 二面体群 / ガロワ閉包 / 射影代数超曲面 / 平面曲線 / 関数体の拡大 / 弱ガロワワイエルシュトラス点 / ガロワワイエルシュトラス点 / 代数超曲面 / ガロワ被覆 / ガロワ点 … More Except Principal Investigator 代数曲線 / 自己同型群 / 代数幾何 / リサージュ曲線 / リース積 / 平面代数曲線 / ガロワ群 / 射影代数多様体 / 準ガロワ点 / ガロワ点 / 消去問題 / Qホモロジー射影平面 / 正規デルペッゾ曲面 / 高階導分 / 多項式環 / 対数的小平次元 / 正規代数曲面 / 開代数曲面 / 代数幾何学 / クリフォード指数 / コクセター群 / ガロア点 / ワイアシュトラス半群 / 線形系 / ブリル＝ネーター理論 / ブリル=ネーター理論 / 特殊線形系 Less

射影による射影代数多様体の対称性の研究　ーガロア点研究の新展開ーPrincipal Investigator
- Principal Investigator
  
  高橋剛
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Niigata University
Studies on the internal structure of algebraic function fields - from the viewpoint of Galois point studiesPrincipal Investigator
- Principal Investigator
  
  Takahashi Takeshi
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Niigata University
Development of Quasi-Galois Point Theory - To understand delicate properties of hypersurfacesPrincipal Investigator
- Principal Investigator
  
  Takahashi Takeshi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Niigata University
Understanding the structure of open algebraic surfaces and normal algebraic surfaces of logarithmic Kodaira dimension one or less
- Principal Investigator
  
  Kojima Hideo
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Niigata University
Development and application of Galois point theory of projective varieties
- Principal Investigator
  
  MIURA Kei
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Ube National College of Technology
Study on function fields of algebraic hypersurfaces focusing on projections, - for an evolution of Galois point theory -Principal Investigator
- Principal Investigator
  
  Takahashi Takeshi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Niigata University
  Nagaoka National College of Technology
Linear Systems on Algebraic Curves and its Applications
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
Linear Systems and Projective Models on Algebraic Curves
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima

All 2024 2023 2022 2019 2018 2017 2016 2015 2013 2010 Other

All Journal Article Presentation

[Journal Article] Simultaneous Galois points for a reducible plane curve consisting of nonsingular components2024
- Author(s)
  Aki Ikeda and Takeshi Takahashi
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03441
[Journal Article] Algebraic curves admitting the same Galois closure for two projections2022
- Author(s)
  Satoru Fukasawa, Kazuki Higashine and Takeshi Takahashi
- Journal Title
  
  Annali di Matematica Pura ed Applicata (1923-)
  
  Volume: - Issue: 5 Pages: 2055-2061
- DOI
  10.1007/s10231-022-01191-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20J12384, KAKENHI-PROJECT-19K03441, KAKENHI-PROJECT-19K03438
[Journal Article] Galois lines for a canonical curve of genus 4, I: Non-skew cyclic lines2022
- Author(s)
  Jiryo Komeda and Takeshi Takahashi
- Journal Title
  
  Rendiconti del Seminario Matematico della Universita di Padova
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03441
[Journal Article] Galois lines for a canonical curve of genus 4, II: skew cyclic lines2022
- Author(s)
  Jiryo Komeda and Takeshi Takahashi
- Journal Title
  
  Rendiconti del Seminario Matematico della Universita di Padova
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03441
[Journal Article] Number of weak Galois-Weierstrass points with Weierstrass semigroups generated by two elements2019
- Author(s)
  Komeda, Jiryo and Takahashi, Takeshi
- Journal Title
  
  Journal of the Korean Mathematical Society
  
  Volume: 56(6) Pages: 1463-1474
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03441
[Journal Article] QUASI-GALOIS POINTS, I: AUTOMORPHISM GROUPS OF PLANE CURVES2019
- Author(s)
  Fukasawa Satoru、Miura Kei、Takahashi Takeshi
- Journal Title
  
  Tohoku Mathematical Journal, Second Series
  
  Volume: 71 Issue: 4 Pages: 487-494
- DOI
  10.2748/tmj/1576724789
- ISSN
  0040-8735, 2186-585X
- Year and Date
  2019-12-30
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03230, KAKENHI-PROJECT-16K05094
[Journal Article] ワイエルシュトラス半群が<a,b>となる弱ガロア・ワイエルシュトラス点2019
- Author(s)
  高橋剛
- Journal Title
  
  射影多様体の幾何とその周辺2018　報告集
  
  Volume: - Pages: 13-25
- Data Source
  KAKENHI-PROJECT-16K05094
[Journal Article] Log del Pezzo surfaces of rank one containing the affine plane2019
- Author(s)
  Hideo Kojima and Takeshi Takahashi
- Journal Title
  
  Nihonkai Mathematical Journal
  
  Volume: 29 Pages: 77-130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05094
[Journal Article] Quasi-Galois points, I: Automorphism groups of plane curves2018
- Author(s)
  Satoru Fukasawa, Kei Miura and Takeshi Takahashi
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05094
[Journal Article] Relating Galois points to weak Galois Weierstrass points through double coverings of curves2017
- Author(s)
  Jiryo Komeda and Takeshi Takahashi
- Journal Title
  
  J. Korean Math. Soc.
  
  Volume: 54 Issue: 1 Pages: 69-86
- DOI
  10.4134/jkms.j150593
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04830, KAKENHI-PROJECT-16K05094
[Journal Article] 平面代数曲線の準ガロワ点について2016
- Author(s)
  高橋剛
- Journal Title
  
  射影多様体の幾何とその周辺2015報告集
  
  Volume: - Pages: 45-58
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400059
[Journal Article] Relating Galois points to weak Galois Weierstrass points through double coverings of curves2016
- Author(s)
  Jiryo Komeda and Takeshi Takahashi
- Journal Title
  
  Journal of the Korean Mathematical Society
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400059
[Journal Article] ガロア点とガロアワイエルシュトラス点について2015
- Author(s)
  高橋剛
- Journal Title
  
  代数幾何シンポジウム 2014 in 岐阜報告集
  
  Volume: 無 Pages: 101-112
- Open Access
- Data Source
  KAKENHI-PROJECT-25400059
[Journal Article] ガロワ点とガロワワイエルシュトラス点について2015
- Author(s)
  高橋剛
- Journal Title
  
  第12回代数曲線論シンポジウム報告集
  
  Volume: 無 Pages: 43-50
- Data Source
  KAKENHI-PROJECT-25400059
[Journal Article] Projection of a nonsingular plane quintic curve and the dihedral group of order eight2015
- Author(s)
  Takeshi Takahashi
- Journal Title
  
  Rendiconti del Seminario Matematico della Universita di Padova
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400059
[Journal Article] 非特異５次曲線の二面体群に関する点射影2013
- Author(s)
  高橋剛
- Journal Title
  
  代数幾何シンポジウム2013 in 岐阜報告集
  
  Volume: 無 Pages: 31-40
- Data Source
  KAKENHI-PROJECT-25400059
[Journal Article] Automorphisms of a nonsingular curve on a rational surface of Picard number three2010
- Author(s)
  Akira Ohbuchi, Takeshi Takahashi
- Journal Title
  
  Far East Journal of Mathematical Sciences
  
  Volume: Vol.47, No.1 Pages: 109-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540043
[Presentation] 可約平面曲線の同時ガロア点2023
- Author(s)
  高橋剛
- Organizer
  第21回代数曲線論シンポジウム
- Data Source
  KAKENHI-PROJECT-19K03441
[Presentation] 種数4の標準曲線に対する skew cyclic line の本数2022
- Author(s)
  高橋剛
- Organizer
  新潟代数セミナー
- Data Source
  KAKENHI-PROJECT-19K03441
[Presentation] 種数4曲線のガロアラインについて, その22019
- Author(s)
  高橋剛
- Organizer
  Workshop on Galois point and related topics, 山形大学理学部
- Data Source
  KAKENHI-PROJECT-19K03441
[Presentation] Galois lines for a space curve of genus 42019
- Author(s)
  高橋剛
- Organizer
  第17回代数曲線論シンポジウム於神奈川工科大学アクティブラーニング横浜
- Invited
- Data Source
  KAKENHI-PROJECT-19K03441
[Presentation] Number of weak Galois Weierstrass points with semigroup <a, b>2018
- Author(s)
  Takeshi Takahashi
- Organizer
  The 16th Affine Algebraic Geometry Meeting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05094
[Presentation] Weak Galois-Weierstrass points with semigroups generated by two integers2018
- Author(s)
  高橋剛
- Organizer
  射影多様体の幾何とその周辺2018 於高知工科大学永国寺キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-16K05094
[Presentation] 種数4曲線のガロアラインについて2018
- Author(s)
  高橋剛
- Organizer
  Workshop on Galois point and related topics 於新潟大学駅南キャンパスときめいと
- Data Source
  KAKENHI-PROJECT-16K05094
[Presentation] On the number of Galois Weierstrass points whose semigroups are generated by two elements2017
- Author(s)
  Takeshi TAKAHASHI
- Organizer
  The 15th Affine Algebraic Geometry Meeting
- Place of Presentation
  関西学院大学大阪梅田キャンパス, 大阪府大阪市北区
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05094
[Presentation] 平面代数曲線のガロア点と準ガロア点2017
- Author(s)
  高橋剛
- Organizer
  新潟代数セミナー
- Data Source
  KAKENHI-PROJECT-16K05094
[Presentation] Weak Galois Weierstrass points whose semigroups are generated by two integers2017
- Author(s)
  Takeshi Takahashi
- Organizer
  Geometric Galois Theory and Monodromy
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05094
[Presentation] ワイエルシュトラス半群が2元生成となる弱ガロアワイエルシュトラス点の個数について2017
- Author(s)
  高橋剛
- Organizer
  10th Workshop on Galois point and related topics
- Data Source
  KAKENHI-PROJECT-16K05094
[Presentation] Quasi-Galois points for a plane algebraic curve2016
- Author(s)
  Takeshi Takahashi
- Organizer
  第14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
- Year and Date
  2016-03-06
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] Galois points, Galois Weierstrass points and double coverings of curves2015
- Author(s)
  高橋剛
- Organizer
  第9回代数曲面ワークショップat 秋葉原
- Place of Presentation
  首都大学東京秋葉原サテライトキャンパス
- Year and Date
  2015-05-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] 準ガロワ点と応用, その 12015
- Author(s)
  高橋剛
- Organizer
  Workshop on Galois point and related topics
- Place of Presentation
  神奈川大学横浜キャンパス
- Year and Date
  2015-09-06
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] 平面代数曲線の準ガロワ点について2015
- Author(s)
  高橋剛
- Organizer
  射影多様体の幾何とその周辺
- Place of Presentation
  高知大学朝倉キャンパス
- Year and Date
  2015-11-01
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] 非特異平面5次曲線の二面体群に関係する点射影2013
- Author(s)
  高橋剛
- Organizer
  代数幾何シンポジウム2013 in 岐阜 ―数学教育の話題もあります.―
- Place of Presentation
  ソフトピアジャパンセンタービル
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] 非特異平面5次曲線の二面体群に関係する点射影について2013
- Author(s)
  高橋剛
- Organizer
  Workshop on Galois point and related topics
- Place of Presentation
  山形大学理学部
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] 非特異平面5次曲線のD4-pointの個数について2013
- Author(s)
  高橋剛
- Organizer
  代数幾何学小研究集会―新潟―
- Place of Presentation
  新潟大学駅南キャンパスときめいと
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] Galois points for a plane algebraic curve, and related topics2013
- Author(s)
  Takeshi Takahashi
- Organizer
  Kobe Studio Seminar for Mathematics
- Place of Presentation
  神戸大学大学院人間発達環境学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] Projection of a nonsingular plane quintic curve and the dihedral group of order eight
- Author(s)
  Takeshi Takahashi
- Organizer
  The 13th Affine Algebraic Geometry Meeting
- Place of Presentation
  関西学院大学大阪梅田キャンパス
- Year and Date
  2015-03-05 – 2015-03-08
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] Galois Points and Galois Weierstrass Points
- Author(s)
  高橋剛
- Organizer
  代数幾何シンポジウム2014 in 岐阜ー数学教育の話題もあります.ー
- Place of Presentation
  ソフトピアジャパンセンタービル（大垣駅前）
- Year and Date
  2015-01-10 – 2015-01-11
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] ガロワ点とガロワワイエルシュトラス点
- Author(s)
  高橋剛
- Organizer
  第２回代数幾何学研究集会-宇部-
- Place of Presentation
  宇部工業高等専門学校
- Year and Date
  2015-01-24 – 2015-01-25
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] Galois Points and Galois Weierstrass Points
- Author(s)
  高橋剛
- Organizer
  第 12 回代数曲線論シンポジウム
- Place of Presentation
  : 日本大学理工学部駿河台校舎
- Year and Date
  2014-12-20 – 2014-12-21
- Invited
- Data Source
  KAKENHI-PROJECT-25400059
[Presentation] ガロワ点と2重被覆とガロワワイエルシュトラス点
- Author(s)
  高橋剛
- Organizer
  Workshop on Galois point and related topics
- Place of Presentation
  滋賀大学大津サテライトプラザ
- Year and Date
  2014-09-13 – 2014-09-15
- Data Source
  KAKENHI-PROJECT-25400059

1. OHBUCHI Akira (10211111)

# of Collaborated Projects: 4 results

# of Collaborated Products: 1 results
2. MIURA Kei (50353321)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. YOSHIHARA Hisao (60114807)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. KATO Takao (10016157)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. KOMEDA Jiryo (90162065)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
6. HOMMA Masaaki (80145523)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. KISHIMOTO Takashi (20372576)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. SAITO Natsuo (70382372)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. TOKUNAGA Hiro-o (30211395)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. NAGAMINE Takanori

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Takahashi Takeshi 高橋 剛

TAKAHASHI Takeshi 高橋 剛

Research Projects

Research Products

Co-Researchers

射影による射影代数多様体の対称性の研究 ーガロア点研究の新展開ーPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Studies on the internal structure of algebraic function fields - from the viewpoint of Galois point studiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Development of Quasi-Galois Point Theory - To understand delicate properties of hypersurfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Understanding the structure of open algebraic surfaces and normal algebraic surfaces of logarithmic Kodaira dimension one or less

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Development and application of Galois point theory of projective varieties

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on function fields of algebraic hypersurfaces focusing on projections, - for an evolution of Galois point theory -Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Linear Systems on Algebraic Curves and its Applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Linear Systems and Projective Models on Algebraic Curves

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Simultaneous Galois points for a reducible plane curve consisting of nonsingular components2024

Author(s)

Journal Title

Data Source

[Journal Article] Algebraic curves admitting the same Galois closure for two projections2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Galois lines for a canonical curve of genus 4, I: Non-skew cyclic lines2022

Author(s)

Journal Title

Data Source

[Journal Article] Galois lines for a canonical curve of genus 4, II: skew cyclic lines2022

Author(s)

Journal Title

Data Source

[Journal Article] Number of weak Galois-Weierstrass points with Weierstrass semigroups generated by two elements2019

Author(s)

Journal Title

Data Source

[Journal Article] QUASI-GALOIS POINTS, I: AUTOMORPHISM GROUPS OF PLANE CURVES2019

Author(s)

Journal Title

DOI

ISSN

Year and Date

Takahashi Takeshi 高橋剛

TAKAHASHI Takeshi 高橋剛

射影による射影代数多様体の対称性の研究　ーガロア点研究の新展開ーPrincipal Investigator