Furukawa Katsuhisa 古川勝久

… Alternative Names

古川勝久フルカワカツヒサ

FURUKAWA Katsuhisa 古川勝久

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Researcher Number	40648664
Other IDs
Affiliation (Current)	2025: 城西大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 城西大学, 理学部, 准教授 2013 – 2014: 早稲田大学, 理工学術院, 招聘研究員 2012: 早稲田大学, 理工学術院, 助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra
Keywords	Principal Investigator 任意標数の射影幾何学 / トーリック多様体 / 高階secant多様体 / 射影双対性 / ガウス写像 / 代数多様体上の直線族(パラメーター空間) / 高階Secant多様体の極小次数 / 任意標数の代数多様体の射影幾何学 / 対称テンソルの分解の階数 / Veronese多様体 … More / 高階Secant多様体の特異点 / projective duality / positive characteristic / hyperquadrics / characterization / toric varieties / Gauss maps … More Except Principal Investigator 射影代数幾何 / 正標数 / 再帰性 / 射影双対 / ガウス写像 Less

Projective geometry in arbitrary characteristic and its application to fundamental algebraic varietiesPrincipal Investigator
- Principal Investigator
  
  古川勝久
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Josai University
任意標数の射影幾何と代数多様体上の有理曲線族Principal Investigator
- Principal Investigator
  
  古川勝久
- Project Period (FY)
  2013 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
Projective Algebraic Geometry in Positive Characteristic
- Principal Investigator
  
  KAJI Hajime
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University

All 2024 2023 2022 2014 2013 2012 2010

All Journal Article Presentation

[Journal Article] Dimension of the space of conics on a Fano hypersurface2022
- Author(s)
  Furukawa Katsuhisa
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 226 Issue: 6 Pages: 106970-106970
- DOI
  10.1016/j.jpaa.2021.106970
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03236
[Journal Article] Cohomological characterization of hyperquadrics of odd dimensions in characteristic two2014
- Author(s)
  Katsuhisa Furukawa
- Journal Title
  
  射影多様体の幾何とその周辺2013報告集(高知大学)
  
  Volume: 2013年報告集
- Data Source
  KAKENHI-PROJECT-25800030
[Journal Article] Duality with expanding maps and shrinking maps, and its applications to Gauss maps2014
- Author(s)
  Katsuhisa Furukawa
- Journal Title
  
  Mathematische Annalen
  
  Volume: 358 Issue: 1-2 Pages: 403-432
- DOI
  10.1007/s00208-013-0965-7
- NAID
  120005763784
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800030
[Journal Article] Cohomological characterization of hyperquadrics of odd dimensions in characteristic two2014
- Author(s)
  Katsuhisa Furukawa
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 未定 Issue: 1-2 Pages: 119-130
- DOI
  10.1007/s00209-014-1308-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800030
[Journal Article] Cubic hypersurfaces admitting an embedding with Gauss map of rank 02012
- Author(s)
  K.Furukawa
- Journal Title
  
  Advances in Mathematics
  
  Volume: 230 Pages: 1174-1183
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540055
[Journal Article] Projective varieties admitting an embedding with Gauss map of rank zero2010
- Author(s)
  楫元, 深澤知、古川勝久
- Journal Title
  
  Advances in Mathematics
  
  Volume: 224 Pages: 2645-2661
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540055
[Journal Article] Projective varieties admitting an embedding with Gauss map of rank zero (with S. Fukasawa, K. Furukawa)2010
- Author(s)
  S.Fukasawa, K.Furukawa, H.Kaji
- Journal Title
  
  Advances in Mathematics
  
  Volume: 224 Pages: 2645-2661
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540055
[Presentation] Veronese多様体の高階secant多様体または対称テンソル空間の特異点と定義方程式系2024
- Author(s)
  古川勝久
- Organizer
  第２９回沼津改め静岡研究会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03236
[Presentation] Singular loci and equations of higher secant varieties of Veronese embeddings2023
- Author(s)
  古川勝久
- Organizer
  Niigata Algebra Symposium
- Invited
- Data Source
  KAKENHI-PROJECT-22K03236
[Presentation] Veronese多様体の高階secant多様体の特異点について2023
- Author(s)
  古川勝久
- Organizer
  研究集会「代数幾何学とその周辺の話題」
- Invited
- Data Source
  KAKENHI-PROJECT-22K03236
[Presentation] Convex rationally connected varieties in arbitrary characteristic2014
- Author(s)
  Katsuhisa Furukawa
- Organizer
  第三回若手代数複素幾何研究集会
- Place of Presentation
  長崎市松藤プラザ
- Invited
- Data Source
  KAKENHI-PROJECT-25800030
[Presentation] On general fibers of Gauss maps in arbitrary characteristic2014
- Author(s)
  Katsuhisa Furukawa
- Organizer
  日本数学会2014年度年会・代数学
- Place of Presentation
  日本数学会2014年度年会・代数学学習院大学
- Data Source
  KAKENHI-PROJECT-25800030
[Presentation] Cohomological characterization of hyperquadrics of odd dimensions in characteristic two2013
- Author(s)
  Katsuhisa Furukawa
- Organizer
  Japanese-Spanish Workshop
- Place of Presentation
  Imperial College London (UK)
- Invited
- Data Source
  KAKENHI-PROJECT-25800030
[Presentation] On general fibers of Gauss maps in arbitrary characteristic2013
- Author(s)
  Katsuhisa Furukawa
- Organizer
  Birational Geometry and Singularities in Positive Characteristic
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800030
[Presentation] Cohomological characterization of hyperquadrics of odd dimensions in characteristic two2013
- Author(s)
  Katsuhisa Furukawa
- Organizer
  射影多様体の幾何とその周辺2013
- Place of Presentation
  高知大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800030
[Presentation] Cohomological characterization of hyperquadrics of odd dimensions in characteristic two2013
- Author(s)
  Katsuhisa Furukawa
- Organizer
  日本数学会2013年度秋季総合分科会・代数学
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-25800030

1. KAJI Hajime (70194727)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
2. FUKASAWA Satoru (20569496)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results

Furukawa Katsuhisa 古川 勝久

古川 勝久 フルカワ カツヒサ

FURUKAWA Katsuhisa 古川 勝久

Research Projects

Research Products

Co-Researchers

Projective geometry in arbitrary characteristic and its application to fundamental algebraic varietiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

任意標数の射影幾何と代数多様体上の有理曲線族Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Projective Algebraic Geometry in Positive Characteristic

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Dimension of the space of conics on a Fano hypersurface2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Cohomological characterization of hyperquadrics of odd dimensions in characteristic two2014

Author(s)

Journal Title

Data Source

[Journal Article] Duality with expanding maps and shrinking maps, and its applications to Gauss maps2014

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Cohomological characterization of hyperquadrics of odd dimensions in characteristic two2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Cubic hypersurfaces admitting an embedding with Gauss map of rank 02012

Author(s)

Journal Title

Data Source

[Journal Article] Projective varieties admitting an embedding with Gauss map of rank zero2010

Author(s)

Journal Title

Data Source

[Journal Article] Projective varieties admitting an embedding with Gauss map of rank zero (with S. Fukasawa, K. Furukawa)2010

Author(s)

Journal Title

Data Source

[Presentation] Veronese多様体の高階secant多様体または対称テンソル空間の特異点と定義方程式系2024

Author(s)

Organizer

Data Source

[Presentation] Singular loci and equations of higher secant varieties of Veronese embeddings2023

Author(s)

Organizer

Data Source

[Presentation] Veronese多様体の高階secant多様体の特異点について2023

Author(s)

Organizer

Data Source

[Presentation] Convex rationally connected varieties in arbitrary characteristic2014

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] On general fibers of Gauss maps in arbitrary characteristic2014

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] Cohomological characterization of hyperquadrics of odd dimensions in characteristic two2013

Author(s)

Furukawa Katsuhisa 古川勝久

古川勝久フルカワカツヒサ

FURUKAWA Katsuhisa 古川勝久