Ikoma Hideaki 生駒英晃

Researcher Number	90533638
Other IDs
Affiliation (Current)	2025: 四天王寺大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2023: 四天王寺大学, 教育学部, 准教授 2019 – 2022: 四天王寺大学, 教育学部, 講師 2018: 京都大学, 理学研究科, 研究員 2017: 京都大学, 理学研究科, 特定研究員 2016: 京都大学, 理学研究科, 研究員
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator 数論的正値性 / 代数幾何学 / アラケロフ幾何学 / 数論的多様体 / 代数学 / 代数多様体上の有理点 / ニュートン・オコンコフ凸体 / 数論的体積 / 基底条件 / アデール因子

Research Projects
(2 results)
Research Products
(21 results)

Geometry of arithmetic varieties and arithmetic positivityPrincipal Investigator
- Principal Investigator
  
  Ikoma Hideaki
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Shitennoji University
Positivity in Arakelov GeometryPrincipal Investigator
- Principal Investigator
  
  Ikoma Hideaki
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Shitennoji University
  Kyoto University

All 2022 2021 2019 2018 2017 2016

All Journal Article Presentation Book

[Book] The Mordell Conjecture: A Complete Proof from Diophantine Geometry2022
- Author(s)
  Hideaki Ikoma, Shu Kawaguchi, Atsushi Moriwaki
- Total Pages
  150
- Publisher
  Cambridge University Press
- ISBN
  9781108845953
- Data Source
  KAKENHI-PROJECT-20K03548
[Book] モーデル‐ファルティングスの定理 : ディオファントス幾何からの完全証明2017
- Author(s)
  川口周、森脇淳、生駒英晃
- Total Pages
  186
- Publisher
  サイエンス社
- ISBN
  9784781914022
- Data Source
  KAKENHI-PROJECT-16K17559
[Journal Article] Adelic Cartier divisors with base conditions and the continuity of volumes2021
- Author(s)
  Hideaki Ikoma
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17559
[Journal Article] Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities2021
- Author(s)
  Hideaki Ikoma
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17559
[Journal Article] On subfiniteness of graded linear series2019
- Author(s)
  Chen Huayi、Ikoma Hideaki
- Journal Title
  
  European Journal of Mathematics
  
  Volume: 6 Issue: 2 Pages: 367-399
- DOI
  10.1007/s40879-019-00349-0
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17559, KAKENHI-PROJECT-20K03548
[Journal Article] Remarks on the arithmetic restricted volumes and the arithmetic base loci2016
- Author(s)
  Hideaki Ikoma
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences
  
  Volume: 52 Issue: 4 Pages: 435-495
- DOI
  10.4171/prims/187
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] Differentiability of the arithmetic volume function for pairs2022
- Author(s)
  Hideaki Ikoma
- Organizer
  Intercity Seminar on Arakelov Geometry near Madrid
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03548
[Presentation] Differentiability of the arithmetic volume function for pairs2021
- Author(s)
  Hideaki Ikoma
- Organizer
  Arithmetic algebraic geometry and mathematical physics in honor of the 60th birthday of Professor Atsushi Moriwaki
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03548
[Presentation] Differentiability of the arithmetic volume function along the base conditions2019
- Author(s)
  Hideaki Ikoma
- Organizer
  Seminaire de theorie des nombres (IMJ-PRG)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] Differentiability of the arithmetic volume function along the base conditions2019
- Author(s)
  Hideaki Ikoma
- Organizer
  Geometry of arithmetic varieties, Beijing (BICMR)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] Differentiability of the arithmetic volume function along the base conditions2019
- Author(s)
  Hideaki Ikoma
- Organizer
  Intercity Arakelov Seminar 2019, Kyoto
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] On the differentiability of arithmetic volume function2018
- Author(s)
  生駒英晃
- Organizer
  京都大学代数幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] On the differentiability of arithmetic volume function2018
- Author(s)
  生駒英晃
- Organizer
  代数的整数論とその周辺2018
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities2017
- Author(s)
  Hideaki Ikoma
- Organizer
  Number Theory Seminar
- Place of Presentation
  パリ第6大学
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] On the concavity of the arithmetic volumes (poster)2017
- Author(s)
  生駒英晃
- Organizer
  日本数学会異分野・異業種研究交流会 2017
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities2017
- Author(s)
  生駒英晃
- Organizer
  第16回広島仙台整数論集会
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities2017
- Author(s)
  生駒英晃
- Organizer
  Intercity Seminar on Arakelov Theory (CNU Beijing)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities2017
- Author(s)
  生駒英晃
- Organizer
  第11回福岡数論研究集会
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities2017
- Author(s)
  Hideaki Ikoma
- Organizer
  Kickoff Symposium: New development of algebraic geometry viewed from theoretical physics
- Place of Presentation
  京都大学数学教室
- Invited
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] On an arithmetic analogue of the Bonnesen-Diskant inequality2016
- Author(s)
  Hideaki Ikoma
- Organizer
  第4回 K3曲面・エンリケス曲面ワークショップ
- Place of Presentation
  北海道教育大学札幌駅前サテライト
- Invited
- Data Source
  KAKENHI-PROJECT-16K17559
[Presentation] On the differentiability of arithmetic volumes and the Bonnesen-Diskant-type inequalities2016
- Author(s)
  Hideaki Ikoma
- Organizer
  東京理科大学談話会
- Place of Presentation
  東京理科大学理工学部
- Invited
- Data Source
  KAKENHI-PROJECT-16K17559

Ikoma Hideaki 生駒 英晃

Research Projects

Research Products

Geometry of arithmetic varieties and arithmetic positivityPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Positivity in Arakelov GeometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] The Mordell Conjecture: A Complete Proof from Diophantine Geometry2022

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Book] モーデル‐ファルティングスの定理 : ディオファントス幾何からの完全証明2017

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Journal Article] Adelic Cartier divisors with base conditions and the continuity of volumes2021

Author(s)

Journal Title

Data Source

[Journal Article] Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities2021

Author(s)

Journal Title

Data Source

[Journal Article] On subfiniteness of graded linear series2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remarks on the arithmetic restricted volumes and the arithmetic base loci2016

Author(s)

Journal Title

DOI

Data Source

[Presentation] Differentiability of the arithmetic volume function for pairs2022

Author(s)

Organizer

Data Source

[Presentation] Differentiability of the arithmetic volume function for pairs2021

Author(s)

Organizer

Data Source

[Presentation] Differentiability of the arithmetic volume function along the base conditions2019

Author(s)

Organizer

Data Source

[Presentation] Differentiability of the arithmetic volume function along the base conditions2019

Author(s)

Organizer

Data Source

[Presentation] Differentiability of the arithmetic volume function along the base conditions2019

Author(s)

Organizer

Data Source

[Presentation] On the differentiability of arithmetic volume function2018

Author(s)

Organizer

Data Source

[Presentation] On the differentiability of arithmetic volume function2018

Author(s)

Organizer

Data Source

[Presentation] Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities2017

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] On the concavity of the arithmetic volumes (poster)2017

Author(s)

Ikoma Hideaki 生駒英晃