Nagano Atsuhira 永野中行

Researcher Number	30707873
Other IDs
Affiliation (Current)	2025: 金沢大学, 数物科学系, 准教授
Affiliation (based on the past Project Information) *help	2018 – 2023: 金沢大学, 数物科学系, 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related
Keywords	Principal Investigator ミラー対称性 / テータ関数 / 楕円曲面 / 保型形式 / 周期写像 / K3曲面 / 超幾何関数 / 複素鏡映群 / ラングランズ・プログラム / Abel 多様体 … More / 超幾何方程式 / 超幾何微分方程式 / 鏡映群 / Kummer曲面 / Abel多様体 / 二次形式 Less

Research Projects
(2 results)
Research Products
(32 results)

K3曲面の周期と鏡映群の不変式による保型形式の研究Principal Investigator
- Principal Investigator
  
  永野中行
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kanazawa University
New constructions of modular forms via periods of K3 surfacesPrincipal Investigator
- Principal Investigator
  
  Nagano Atsuhira
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kanazawa University

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] On Riemann type relations for theta functions on bounded symmetric domains of type I2023
- Author(s)
  Atsuhira Nagano
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 673 Pages: 177-199
- DOI
  10.1016/j.laa.2023.05.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03226
[Journal Article] On Kummer-like surfaces attached to singularity and modular forms2023
- Author(s)
  Atsuhira Nagano and Hironori Shiga
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: - Issue: 6 Pages: 2513-2534
- DOI
  10.1002/mana.202100552
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03226
[Journal Article] The ring of modular forms for the even unimodular lattice of signature (2,18)2022
- Author(s)
  Atuhira Nagano and Kazushi Ueda
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 52 Pages: 43-51
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13383
[Journal Article] Geometric Interpretation of Hermitian Modular Forms via Burkhardt Invariants2022
- Author(s)
  Atsuhira Nagano and Hironori Shiga
- Journal Title
  
  Transformation Groups
  
  Volume: online Issue: 1 Pages: 253-275
- DOI
  10.1007/s00031-021-09681-w
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13383, KAKENHI-PROJECT-22K03226
[Journal Article] The ring of modular forms of O(2,4;Z) with characters2021
- Author(s)
  Atsuhira Nagano and Kazushi Ueda
- Journal Title
  
  Hokkaido Mathematical Journal, to appear
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13383
[Journal Article] Inverse period mappings of K3 surfaces and a construction of modular forms for a lattice with the Kneser conditions2021
- Author(s)
  Atsuhira Nagano
- Journal Title
  
  Journal of Algebra
  
  Volume: 565 Pages: 33-63
- DOI
  10.1016/j.jalgebra.2020.07.027
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13383
[Journal Article] One visualization of Shimura's complex multiplication theorem via hypergeometric modular functions2019
- Author(s)
  Hironori Shiga and Atsuhira Nagano
- Journal Title
  
  RIMS Kokyuroku Bessatsu (to appear)
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13383
[Journal Article] Icosahedral invariants and a construction of class fields via periods of K3 surfaces2018
- Author(s)
  Nagano Atsuhira
- Journal Title
  
  The Ramanujan Journal
  
  Volume: 46 Issue: 1 Pages: 201-227
- DOI
  10.1007/s11139-017-9924-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13383, KAKENHI-PROJECT-17J04395
[Presentation] 多変数テータ関数とK3曲面の周期を介した複素鏡映群の研究の可能性について2024
- Author(s)
  永野中行
- Organizer
  仙台保型形式小集会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03226
[Presentation] K3曲面の周期写像と多変数テータ関数及び鏡映群の関係について2023
- Author(s)
  永野中行
- Organizer
  名古屋大学代数幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03226
[Presentation] クンマー曲面族を拡大するK3曲面族とその周期写像から得られる保型形式について2023
- Author(s)
  永野中行
- Organizer
  大阪大学数学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03226
[Presentation] K3曲面の周期,テータ関数と複素鏡映群について2023
- Author(s)
  永野中行
- Organizer
  阪大代数幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03226
[Presentation] K3曲面の周期, テータ関数と複素鏡映群の関係について2023
- Author(s)
  永野中行
- Organizer
  北海道特殊関数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03226
[Presentation] On a sequence of families of K3 surfaces attached to complex reflection groups2023
- Author(s)
  Atsuhira Nagano
- Organizer
  Workshop on Accessory Parameters
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03226
[Presentation] I 型対称領域上のテータ関数に付随した Kummer 曲面の拡張について2022
- Author(s)
  永野中行
- Organizer
  三角函数研究会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03226
[Presentation] K3 曲面族の系列由来の保型形式と複素鏡映群の関係について2022
- Author(s)
  永野中行
- Organizer
  特殊多様体・特殊関数研究会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03226
[Presentation] クンマー曲面族を含むあるK3 曲面族について2022
- Author(s)
  永野中行
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-22K03226
[Presentation] 複素鏡映群とK3 曲面の系列を用いた保型形式のモジュライ解釈2021
- Author(s)
  永野中行
- Organizer
  北陸数論セミナー
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Families of K3 surfaces, theta functions and invariants of complex reflection groups2021
- Author(s)
  Atsuhira Nagano
- Organizer
  Conference on Special Geometry, Mirror Symmetry and Integrable Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Toric K3 hypersurfaces, hypergeometric systems and their applications to number theory2020
- Author(s)
  Atsuhira Nagano
- Organizer
  Monodromy and Hypergeometric Functions International Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Construction of modular forms for a lattice with Kneser conditions via K3 surfaces2019
- Author(s)
  Atsuhira Nagano
- Organizer
  Younger generations in Algebraic and Complex geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Kneser 条件を満たす格子による複素4次元空間上の保型形式2019
- Author(s)
  永野中行
- Organizer
  研究集会「複素領域における函数方程式とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Kneser 条件を持つ格子の保型形式のK3曲面を用いた構成2019
- Author(s)
  永野中行
- Organizer
  松江数論セミナー
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Kneser 条件を持つ格子の保型形式のK3 曲面を用いた構成2019
- Author(s)
  永野中行
- Organizer
  新潟代数セミナー
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Moduli of K3 surfaces for the simplest lattice with the Kneser conditions and modular forms2019
- Author(s)
  Atsuhira Nagano
- Organizer
  Seminar at Istanbul Center for Mathematical Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Modular forms for a lattice with the Kneser conditions2019
- Author(s)
  Atsuhira Nagano
- Organizer
  Journees Arithmetiques
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Kneser 条件を持つ格子の保型形式のK3 曲面を用いた構成2019
- Author(s)
  永野中行
- Organizer
  早稲田整数論セミナー
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] K3曲面の変形に付随した保型形式2018
- Author(s)
  永野中行
- Organizer
  金沢大学数理学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Kneser 条件を持つ格子の保型形式の逆周期写像による構成2018
- Author(s)
  永野中行
- Organizer
  玉原特殊多様体研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Algebraic spectral curves from the viewpoint of automorphic forms2018
- Author(s)
  Atsuhira Nagano
- Organizer
  International Conference on Applied Physics and Mathematics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Introduction of elliptic curves and its generalizations2018
- Author(s)
  Atsuhira Nagano
- Organizer
  Kyoto University International Forum on Advanced Future Studies
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13383
[Presentation] Kneser 条件を満たす格子の保型形式のK3曲面の周期を用いた構成2018
- Author(s)
  永野中行
- Organizer
  北陸数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13383

Nagano Atsuhira 永野 中行

Research Projects

Research Products

K3曲面の周期と鏡映群の不変式による保型形式の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New constructions of modular forms via periods of K3 surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] On Riemann type relations for theta functions on bounded symmetric domains of type I2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On Kummer-like surfaces attached to singularity and modular forms2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The ring of modular forms for the even unimodular lattice of signature (2,18)2022

Author(s)

Journal Title

Data Source

[Journal Article] Geometric Interpretation of Hermitian Modular Forms via Burkhardt Invariants2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The ring of modular forms of O(2,4;Z) with characters2021

Author(s)

Journal Title

Data Source

[Journal Article] Inverse period mappings of K3 surfaces and a construction of modular forms for a lattice with the Kneser conditions2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] One visualization of Shimura's complex multiplication theorem via hypergeometric modular functions2019

Author(s)

Journal Title

Data Source

[Journal Article] Icosahedral invariants and a construction of class fields via periods of K3 surfaces2018

Author(s)

Journal Title

DOI

Data Source

[Presentation] 多変数テータ関数とK3曲面の周期を介した複素鏡映群の研究の可能性について2024

Author(s)

Organizer

Data Source

[Presentation] K3曲面の周期写像と多変数テータ関数及び鏡映群の関係について2023

Author(s)

Organizer

Data Source

[Presentation] クンマー曲面族を拡大するK3曲面族とその周期写像から得られる保型形式について2023

Author(s)

Organizer

Data Source

[Presentation] K3曲面の周期,テータ関数と複素鏡映群について2023

Author(s)

Organizer

Data Source

[Presentation] K3曲面の周期, テータ関数と複素鏡映群の関係について2023

Author(s)

Organizer

Data Source

[Presentation] On a sequence of families of K3 surfaces attached to complex reflection groups2023

Author(s)

Organizer

Data Source

[Presentation] I 型対称領域上のテータ関数に付随した Kummer 曲面の拡張について2022

Author(s)

Organizer

Data Source

Nagano Atsuhira 永野中行