Bannai Shinzo 坂内真三

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BANNAI SHINZO 坂内真三

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Researcher Number	20732556
Other IDs	https://orcid.org/0000-0003-0542-4331
Affiliation (Current)	2025: 岡山理科大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 岡山理科大学, 理学部, 准教授 2018 – 2020: 茨城工業高等専門学校, 国際創造工学科, 准教授 2016: 茨城工業高等専門学校, 講師
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator 平面曲線 / 楕円曲面 / 楕円曲線 / 分解曲線 / Zariski tuple / 平面曲線配置 / 平面曲線の埋め込み位相 / Zariski pair / 埋め込み位相 / ポンスレーの閉形定理 … More / 対数的べクトル場 / マトロイド / ザリスキー対 / 曲線配置 / embedded topology / curve arrangements / plane algebraic curves … More Except Principal Investigator Mordell-Weil格子 / Mordell-Weil群 / Zariski k組 / ガロア分岐被覆 / Jacobi多様体 / Zariski N組 / ペアリング / 暗号 / 不定方程式 / 楕円曲線 / Zariski 対 / Zariski N 組 / 有理楕円曲面 / bisection / k Artal arrangement / contact conic / Zariski ペア / 2重切断 / 整切断 / Mordell Weil群 / 楕円曲面 Less

The embedded topology of projective plane curves and the generalization of splitting invariantsPrincipal Investigator
- Principal Investigator
  
  坂内真三
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Okayama University of Science
New developments in the study of the embedded topology of plane algebraic curvesPrincipal Investigator
- Principal Investigator
  
  Bannai Shinzo
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Okayama University of Science
  Ibaraki National College of Technology
Arithmetic and the Abel Jacobi map on elliptic surfaces and their applications
- Principal Investigator
  
  TOKUNAGA HIROO
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University

All 2023 2022 2021 2020 2019 2018 2015

All Journal Article Presentation

[Journal Article] Ramified and Split Models of Elliptic Surfaces and Bitangent Lines of Quartic Curves2023
- Author(s)
  S. Bannai, H. Tokunaga and E. Yorisaki
- Journal Title
  
  COMMENTARII MATHEMATICI UNIVERSITATIS SANCTI PAULI
  
  Volume: 71 Pages: 51-69
- DOI
  10.14992/0002000760
- URL
  https://rikkyo.repo.nii.ac.jp/records/2000760
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03042, KAKENHI-PROJECT-18K03263
[Journal Article] Trisections on certain rational elliptic surfaces and families of Zariski pairs degenerating to the same conic-line arrangement2022
- Author(s)
  Bannai S.、Kawana N.、Masuya R.、Tokunaga H.
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 216 Issue: 1
- DOI
  10.1007/s10711-021-00672-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05205, KAKENHI-PROJECT-18K03263, KAKENHI-PROJECT-20K03561
[Journal Article] Torsion divisors of plane curves and Zariski pairs2022
- Author(s)
  E. Artal Barolo, Sh. Bannai, T. Shirane and H. Tokunaga
- Journal Title
  
  Algebra i Analiz
  
  Volume: 34:5
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03263
[Journal Article] Elliptic surfaces of rank one and the topology of cubic-line arrangements2021
- Author(s)
  S. Bannai and H. Tokunaga
- Journal Title
  
  J. Number Theory
  
  Volume: 221 Pages: 174-189
- DOI
  10.1016/j.jnt.2020.06.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05205, KAKENHI-PROJECT-18K03263
[Journal Article] Two-graphs and the embedded topology of smooth quartics and its bitangent lines2020
- Author(s)
  BANNAI Shinzo、OHNO Momoko
- Journal Title
  
  Canadian Mathematical Bulletin
  
  Volume: - Issue: 4 Pages: 1-13
- DOI
  10.4153/s0008439520000053
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03263
[Journal Article] Zariski N-ples for a smooth cubic and its tangent lines2020
- Author(s)
  S. Bannai and H. Tokunaga
- Journal Title
  
  Proc. Japan Acad. Ser. A Math. Sci.
  
  Volume: 96 Issue: 2 Pages: 18-21
- DOI
  10.3792/pjaa.96.004
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05205, KAKENHI-PROJECT-18K03263
[Journal Article] Torsion divisors of plane curves with maximal flexes and Zariski pairs2020
- Author(s)
  E. Artal Bartolo, S. Bannai, T. Shirane and H. Tokunaga
- Journal Title
  
  accepted to Math. Nachr.
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03263
[Journal Article] ThematroidstructureofvectorsoftheMordell-Weillatticeandthetopologyofplane quartics and bitangent lines2019
- Author(s)
  R. Sato、S. Bannai
- Journal Title
  
  Monografias Matematicas Garcia de Galdeano
  
  Volume: 42 Pages: 265-274
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03263
[Journal Article] Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements2019
- Author(s)
  S. Bannai, H. Tokunaga and M. Yamamoto
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03263
[Journal Article] A note on the topology of arrangements for a smooth plane quartic and its bitangent lines2019
- Author(s)
  S. Bannai, H. Tokunaga and M. Yamamoto
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03263
[Journal Article] Geometry of bisections of elliptic surfaces and Zariski N-plets for conic arrangements2015
- Author(s)
  Shinzo Bannai and Hiro-o Tokunaga
- Journal Title
  
  Geometria Dedicata
  
  Volume: 未定 Issue: 1 Pages: 219-237
- DOI
  10.1007/s10711-015-0054-z
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25610007, KAKENHI-PROJECT-24244002
[Presentation] The realization space of a certain conic line arrangement of degree 7 and a π_1-equivalent Zariski pair2023
- Author(s)
  Shinzo Bannai
- Organizer
  Work Shop on Algebraic Geometry and Topology 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] Ramified and Split models of rational elliptic surfaces and bitangent lines for a quartic curve2023
- Author(s)
  寄崎恵美子, 坂内真三, 徳永浩雄
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] Splitting invariants and a π_1-equivalent Zariski pair of conic-line arrangements2023
- Author(s)
  白根竹人, M. Amram, 坂内真三, U. Sinichkin, 徳永浩雄
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] The realization space of a certain conic line arrangement of degree 7 and a π_1-equivalent Zariski pair2023
- Author(s)
  Shinzo Bannai
- Organizer
  Work Shop on Algebraic Geometry and Topology 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03042
[Presentation] Splitting invariants and a π_1-equivalent Zariski-pair of conic-line arrangements2022
- Author(s)
  坂内真三
- Organizer
  城崎代数幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] Splitting invariants and a π_1-equivalent Zariski-pair of conic-line arrangements2022
- Author(s)
  坂内真三
- Organizer
  神戸代数幾何学ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] Ramified and split models of rational elliptic surfaces and the geometry of quartics and bitangent lines2022
- Author(s)
  坂内真三
- Organizer
  第26回代数曲面論ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] 射影平面曲線の埋め込み位相の分類問題2021
- Author(s)
  坂内真三
- Organizer
  半田山・幾何・代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] 射影平面曲線の埋め込み位相の分類問題とその展開2020
- Author(s)
  坂内真三
- Organizer
  徳島大学数学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] Torsion divisors of plane curves and Zariski pairs2020
- Author(s)
  白根竹人, E.Artal Bartolo, 坂内真三, 徳永浩雄
- Organizer
  日本数学会 2020年度年会
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] The topology of cubic-line arrangements2019
- Author(s)
  Shinzo Bannai
- Organizer
  Geometries in Pyrenees
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] Torsion divisors of plane curves and Zariski pairs2019
- Author(s)
  Shinzo Bannai
- Organizer
  第17回代数曲線論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] Torsion divisors of plane curves and Zariski pairs2019
- Author(s)
  Shinzo Bannai
- Organizer
  湯布院代数幾何学ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] Matroids, two-graphs and the embedded topology of quartics and bitantgent lines2018
- Author(s)
  S. Bannai
- Organizer
  Fifteenth International Conference Zaragoza-Pau on Mathematics and its Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03263
[Presentation] Matroids, two-graphs and the embedded topology of quartics and bitantgent lines2018
- Author(s)
  S. Bannai
- Organizer
  Universidad Complutense Madrid, Seminario de Algebra, Geometria y Topologia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03263

1. TOKUNAGA HIROO (30211395)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
2. SHIRANE TAKETO (70615161)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 内山成憲 (40433172)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 内田幸寛 (90533258)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. Guerville-Balle Benoit

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. Tumenbayar Kuhlan

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Bannai Shinzo 坂内 真三

BANNAI SHINZO 坂内 真三

Research Projects

Research Products

Co-Researchers

The embedded topology of projective plane curves and the generalization of splitting invariantsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New developments in the study of the embedded topology of plane algebraic curvesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Arithmetic and the Abel Jacobi map on elliptic surfaces and their applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Ramified and Split Models of Elliptic Surfaces and Bitangent Lines of Quartic Curves2023

Author(s)

Journal Title

DOI

URL

Language

Data Source

[Journal Article] Trisections on certain rational elliptic surfaces and families of Zariski pairs degenerating to the same conic-line arrangement2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Torsion divisors of plane curves and Zariski pairs2022

Author(s)

Journal Title

Data Source

[Journal Article] Elliptic surfaces of rank one and the topology of cubic-line arrangements2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Two-graphs and the embedded topology of smooth quartics and its bitangent lines2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Zariski N-ples for a smooth cubic and its tangent lines2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Torsion divisors of plane curves with maximal flexes and Zariski pairs2020

Author(s)

Journal Title

Data Source

[Journal Article] ThematroidstructureofvectorsoftheMordell-Weillatticeandthetopologyofplane quartics and bitangent lines2019

Author(s)

Journal Title

Data Source

[Journal Article] Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements2019

Author(s)

Journal Title

Data Source

[Journal Article] A note on the topology of arrangements for a smooth plane quartic and its bitangent lines2019

Author(s)

Journal Title

Data Source

[Journal Article] Geometry of bisections of elliptic surfaces and Zariski N-plets for conic arrangements2015

Author(s)

Journal Title

DOI

Data Source

[Presentation] The realization space of a certain conic line arrangement of degree 7 and a π_1-equivalent Zariski pair2023

Author(s)

Organizer

Data Source

[Presentation] Ramified and Split models of rational elliptic surfaces and bitangent lines for a quartic curve2023

Bannai Shinzo 坂内真三

BANNAI SHINZO 坂内真三