Moriwaki Atsushi 森脇淳

… Alternative Names

MORIWAKI Atsushi 森脇淳

森脇淳モリワキアツシ

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Researcher Number	70191062
Other IDs
External Links
Affiliation (Current)	2025: 中部大学, 人間力創成教育院, 教授
Affiliation (based on the past Project Information) *help	2023 – 2024: 中部大学, 人間力創成教育院, 教授 2016 – 2022: 京都大学, 理学研究科, 教授 2015: 京都大学, 大学院理学研究科, 教授 2012 – 2015: 京都大学, 理学(系)研究科(研究院), 教授 2009 – 2011: 京都大学, 理学研究科, 教授 … More 2007 – 2009: Kyoto University, 大学院・理学研究科, 教授 2007: 京都大学, 理学研究科, 教授 2005 – 2006: 京都大学, 大学院理学研究科, 教授 2003 – 2005: 京都大学, 大学院・理学研究科, 教授 1996 – 2004: 京都大学, 大学院・理学研究科, 助教授 1998: 京都大学, 大学院理学研究科, 助教授 1996: 京都大学, 大学院理学研究科, 助教授 1992 – 1993: 京都大学, 理学部, 助手 1990: 京都大学, 理学部, 助手 1988: 京都大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Geometry / Algebra / Algebra / 代数学・幾何学 / Medium-sized Section 11:Algebra, geometry, and related fields / Geometry
Keywords	Principal Investigator アラケロフ幾何 / モジュライ空間 / 代数多様体 / 代数幾何学 / ディオファントス幾何 / 有理点 / 数論的多様体 / ボゴモロフ予想 / Diophantine Geometry / Moduli space … More / Arakelov Geometry / ピカール群 / 安定曲線 / シンプレクティック多様体 / 解析的捩率 / 数論幾何学 / モジュライ / 双有理幾何 / 高さ関数 / アーベル多様体 / リーマン・ロッホの定理 / 交点理論 / アデリック曲線 / 表現論 / 理論物理学 / 幾何学 / 代数学 / 数理物理 / シンプレティック多様体 / 数論多様体 / ゲージ理論 / 複素幾何学 / 微分幾何学 / 量子コホモロジー / 超ケーラー多様体 / カラビ・ヤウ多様体 / シンプレクティック特異点 / アラケロフ幾何学 / 数理物理学 / Rational point / Logarithmic Geometry / サイクル / 算術的多様体 / 代数スタッフ / モジュラル空間 / 数論的関数体 / ゼータ関数 / 数学的函数体 / モジュラー的高さ / ゼータ函数 / 代数的サイクル / 対数幾何学 / Fulton conjecture / Picard group / Stable curve / Bogomolov Conjecture / Lang conjecture / Height function / キレン距離 / ネロン・テート対 / モーデル・ヴェイユ群 / ネフ因子 / フルトン予想 / ラング予想 / ドリーニュ・マルグランジュ格子 / 箙多様体 / ディリクレの単数定理 / ルート系 / 調和バンドル / BorcherdsΦ関数 / 手鋸箙多様体 / ザリスキ分解 / ベクトル束 / 導来圏 / 算術多様体 / 混合ツイスターD加群 / 解析的捩率不変量 / ポアソン変形 / 交叉コホモロジー群 / エンリケス曲面 / 半正定値 / 算術的力学系 / 複素幾何 / 対数スキーム / 小林・落合の定理 / 降下定理 / 剛性定理 / 対数幾何 / 藤田の近似定理 / 算術的極限予想 / 算術的体積関数 / 双有理アラケロフ幾何 / 数論幾何 / 安定曲線のモジュライ空間 / 有理点の分布 … More Except Principal Investigator モジュライ空間 / ベクトル束 / 変形 / K3曲面 / K-理論 / 表現論 / 形式群 / 局所化 / 分類空間 / ゲージ群 / 共形場理論 / コホモロジー / K-theory / シンプレクティック特異点 / 双有理幾何 / べき零軌道 / 複素シンプレクティック多様体 / deformation / 変形理論 / gauge group / ホモトピー型 / ホモトピー代数 / stable vector bundle / モデュライ / 安定層 / 安定ベクトル束 / vector bundle / Fano variety / 射影空間 / ファノ多様体 / 代数曲線 / Calabi-Yau多様体 / カラビ・ヤウ多様体 / 単体集合 / 対称群 / 楕円コホモロジー / ホモトピー論 / カテゴリー / K理論 / 自由ループ空間 / 自己ホモトピー群 / 代数幾何学 / 計算機代数 / 特性類 / 小林-ヒッチン対応 / トーリック超ケーラー多様体 / ポアソン変形 / 超ケーラー多様体 / シンプレクティック代数幾何 / Thomae公式 / Enriquies曲面 / BorcherdsΦ関数 / 国際研究者交流 / ボルチャーズΦ-関数 / Calabi-Yau軌道体 / Borcherds Φ-関数 / 対合付きK3曲面 / Borcherds積 / BCOV不変量 / 保型形式 / 解析的捩率 / homotopy type / linear group / cohomology / symmetric group / simplicial set / formal group / 分類空間空間 / モラバK理論 / 亜群 / 高次元カテゴリー / 線形群 / projective space / Tango bundle / computer algebra / ドナルドソン多項式 / 丹後バンドル / Singular / 障害理論 / 還元列 / 丹後束 / characteristic class / exceptional group / nilpotent group / principal bundle / classical group / self homotopy set / KO理論 / e-不変量 / 随伴束 / LS category / nilpotency / 巾零群 / 例外リー群 / 例外群 / 中零群 / 主東 / 古典群 / 自己ホモトピー集合 / birational geometry / nilpotent orbit / Mukai flop / complex symplectic variety / derived categories / 複素単純リー環 / 複素シンプレクティック多様性 / フロップ / Poisson変形 / 向井フロップ / 導来圏 / rationally connectedness / Brauer group / tangent bundle / conic bundle / unirationality / rational curve / ブラウァー群 / ユニック束 / 有理連結性 / ブラウアー群 / 接束 / コニック束 / 単有理性 / 有理曲線 / Painleve equations / Arithmetic geometry / Rigid geometry / Topological field theory / Modular functor / Conformal field theory / Moduli space / Integrable systems with infinite degrees of freedom / p進微分方程式 / Artin-Mazur形式群 / リー代数 / 3次元多様体の不変量 / 幾何学的クリスタル / p進解析空間 / 位相場の理論 / モジュライ函手 / ミラー対称性 / Rigid幾何学 / 遠アーベル幾何学 / ワイル群 / タイヒミュラー空間 / モノドロミー表現 / KZ方程式 / 重複ファイバー / 曲線の退化 / ヤコビ多様体 / 無限次元代数 / 政論幾何学 / パンルヴェ方程式 / 数論幾何学 / 剛幾何学 / 位相的場の理論 / モジュラー函手 / 無限可積分系 / homotopical algebra / Cherm number / homotopy associative / homotopyset / localization / infinite dimensional Lie group / 非可換代数幾何学 / スタック / 随伴作用 / 無次元リー群 / Chern数 / ホモトピー結合性 / ホモトピー集合 / 無限次元リー群 / exceptional line / boundedness / simple complex / reflexive sheaf / Bogomolov's inequality / moduli / stable sheaf / Bogomolovの不等式 / Bogomolov不等式 / 代数的空間 / 第2種例外直線 / 有界性 / 単純な複体 / 反射的加群 / ボゴモロフの不等式 / Teichmueller space / Calabi-Yau variety / Hodge theory / Shafarevich map / flip / Minimal model / フェルリンデ公式 / 基本群 / 極小モデル理論 / タイヒミューラー空間 / カラビ・ヤオ多様体 / ホッジ理論 / シャファレビッチ写像 / フリップ / 極小モデル / 数論的多様体 / ヴィット概型 / Enriques曲面 / CalabiYau多様体 / 算術的多様体 / クラスター代数 / モジュライ / 代数学 / 離散群とコホモロジー次元 / 複素多様体の変形 / 力学的次数 / 直交型モジュラー多様体 / クレモナ変換 / エンリケス曲面 / 幾何学的群論 / アラケロフ幾何 / 複素力学系 / 複素幾何 / Si(2)-orbit / Firfing ideaf / 非可換岩澤理論 / P進hodge構造 / Hodge構造 / 岩澤理論 / SL(2)-orbit / 対数的幾何学 / アルバネーゼ多様体 / 退化 / ホッジ構造 / 代数多様体 / 楕円コホモロジー論 / 無限ループ空間 / Morava K-理論 / 指標 / エタールホモトピー / ホモトピー可換 / 有理ホモトピー / 高次のホモトピー結合性 / Samelson積 / リー群 / 自己ホモトピ-群 / 自由ル-プ空間 / 高次のホモトピ-結合性 / ゲ-ジ群 / リ-群 / ベキ零群 / 写像空間 / ファイバーワイズトポロジーL.Sカテゴリー / 自由ループ群 / 多項式環 / 可換環論 / 符号理論 / グレブナー基底 / 放物的安定層 / 数論的代数幾何学 / 複素コボルディズム Less

Arakelov geometry over adelic curvesPrincipal Investigator
- Principal Investigator
  
  森脇淳
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Chubu University
  Kyoto University
Symplectic algebraic geometry and moduli spaces
- Principal Investigator
  
  並河良典
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyoto University
Studies on Diophantine Geometry and Arakelov geometryPrincipal Investigator
- Principal Investigator
  
  森脇淳
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
New development of algebraic geometry viewed from theoretical physicsPrincipal Investigator
- Principal Investigator
  
  Moriwaki Atsushi
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Moduli spaces of algebraic varieties and self-morphisms
- Principal Investigator
  
  Mukai Shigeru
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Analytic torsion and geometry
- Principal Investigator
  
  Yoshikawa Ken-Ichi
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Constructions and developments of geomerty on moduli spaces and arithmetic varietiesPrincipal Investigator
- Principal Investigator
  
  MORIWAKI Atsushi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
非可換岩澤理論とその周辺
- Principal Investigator
  
  加藤和也
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Higher dimensional category and its applications
- Principal Investigator
  
  NISHIDA Goro
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Research on algebraic topology and its geometric applications
- Principal Investigator
  
  KONO Akira
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Diophantine geometry and moduli problemsPrincipal Investigator
- Principal Investigator
  
  MORIWAKI Atsushi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Homotopy Theoretic Study of Higher Dimensional Categories
- Principal Investigator
  
  NISHIDA Goro
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Complex symplectic varieties and derived categories
- Principal Investigator
  
  NAMIKAWA Yoshinori
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
  Kyoto University
Homotopical Algebra and its Geometric Applications
- Principal Investigator
  
  KONO Akira
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Graduate School of Science, Kyoto University
Research on Application of Computer Algebra to Algebraic Geometry
- Principal Investigator
  
  MARUYAMA Masaki
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.
- Principal Investigator
  
  UENO Kenji
- Project Period (FY)
  2002 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Many-sided researches on rationally connected projective varieties-Fano varieties are unirational ?
- Principal Investigator
  
  SATO Eiichi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Moduli spaces and arithmetic geometryPrincipal Investigator
- Principal Investigator
  
  MORIWAKI Atushi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Algebraic Geometry, Differential Geometry and Topology of Manifolds
- Principal Investigator
  
  KONO Akira
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Arakelov geometry and its related topicsPrincipal Investigator
- Principal Investigator
  
  MORIWAKI Atsushi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
代数幾何学と計算機代数、符号理論
- Principal Investigator
  
  丸山正樹
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Study of Moduli and its Applications
- Principal Investigator
  
  MARUYAMA Masaki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
代数多様体の有理点の問題Principal Investigator
- Principal Investigator
  
  森脇淳
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
アラケロフ幾何とその応用Principal Investigator
- Principal Investigator
  
  森脇淳
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyoto University
代数体又は関数体上で定義された代数多様体の有理点の分布Principal Investigator
- Principal Investigator
  
  森脇淳
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Higher Dimensional Algebraic Varieties
- Principal Investigator
  
  MORI Shigefumi
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for international Scientific Research
- Research Institution
  Kyoto University
代数多様体および複素多様体の研究
- Principal Investigator
  
  UENO Kenji
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
複素多様体の研究
- Principal Investigator
  
  上野健爾
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University

[Book] The Mordell Conjecture - a complete proof from Diophantine geometry-2022
- Author(s)
  Moriwaki, Atsushi (with Ikoma, H and Kawaguchi, Shu)
- Total Pages
  169
- Publisher
  Cambridge University Press
- ISBN
  9781108845953
- Data Source
  KAKENHI-PROJECT-21H04429
[Book] The Mordell Conjecture2022
- Author(s)
  H. Ikoma, S. Kawaguchi and A. Moriwaki
- Total Pages
  169
- Publisher
  Cambridge University Press
- ISBN
  9781108845953
- Data Source
  KAKENHI-PROJECT-21K03203
[Book] Arakelov Geometry over Adelic Curves2020
- Author(s)
  H. Chen, A. Moriwaki
- Total Pages
  452
- Publisher
  Springer
- ISBN
  9789811517273
- Data Source
  KAKENHI-PROJECT-16H06335
[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)
  森脇淳、川口周、生駒英晃
- Total Pages
  106
- Publisher
  サイエンス社
- ISBN
  4781914020
- Data Source
  KAKENHI-PROJECT-16H06335
[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)
  森脇　淳，川口　周，生駒　英晃
- Total Pages
  180
- Publisher
  サイエンス社
- Data Source
  KAKENHI-PROJECT-16H06335
[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)
  森脇　淳，川口　周，生駒　英晃
- Publisher
  サイエンス社
- Data Source
  KAKENHI-PROJECT-25220701
[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)
  森脇淳・川口周・生駒英晃
- Total Pages
  186
- Publisher
  サイエンス社
- Data Source
  KAKENHI-PROJECT-25220701
[Book] Arakelov geometry2014
- Author(s)
  森脇　淳
- Total Pages
  285
- Publisher
  American Mathematical Society
- Data Source
  KAKENHI-PROJECT-22244003
[Book] Arakelov geometry2014
- Author(s)
  A. Moriwaki
- Total Pages
  285
- Publisher
  American Mathematical Society
- Data Source
  KAKENHI-PROJECT-25220701
[Book] アラケロフ幾何2008
- Author(s)
  森脇淳
- Total Pages
  421
- Publisher
  岩波書店
- Data Source
  KAKENHI-PROJECT-17340007
[Book] 代数幾何学2004
- Author(s)
  廣中平祐講義, 森重文記録, 丸山正樹, 森脇淳, 川口周改訂・加筆・編集
- Total Pages
  175
- Publisher
  京都大学学術出版会
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540024
[Book] Algebraic geometry in East Asia2002
- Author(s)
  Akira Ohbuchi, Kazuhiro Konno, Sampei Usui, Atsushi Moriwaki, Noboru Nakayama
- Total Pages
  263
- Publisher
  World Scientific Publishing Co., Inc
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440008
[Book] Algebraic geometry in East Asia2002
- Author(s)
  Akira Ohbuchi, Kazuhiro Konno, Sampei Usui, Atsushi Moriwaki, Noboru Nakayama
- Total Pages
  263
- Publisher
  World Scientific Publishing Co., Inc.
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440008
[Book] Moduli spaces and arithmetic geometry, Advanced Studies in Pure Mathematics
- Author(s)
  向井茂, 宮岡洋一, 森重文. 森脇淳, 中村郁
- Total Pages
  432
- Publisher
  日本数学会
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] Arakelov Theory on Arithmetic Surfaces Over a Trivially Valued Field2022
- Author(s)
  Huayi Chen and Atsushi Moriwaki
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 2022 Issue: 7 Pages: 5473-5537
- DOI
  10.1093/imrn/rnab302
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03203, KAKENHI-PROJECT-21H04429
[Journal Article] Extension property of semipositive invertible sheaves over a non-archimedean field2018
- Author(s)
  Huayi Chen，森脇　淳
- Journal Title
  
  Annali della Scuola Normale Superiore di Pisa
  
  Volume: XVIII Pages: 241-282
- DOI
  10.2422/2036-2145.201601_004
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06335, KAKENHI-PROJECT-25220701
[Journal Article] Adelic divisors on arithmetic varieties2016
- Author(s)
  A. Moriwaki
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: Vol. 242, Num. 1144 Issue: 1144 Pages: 0-0
- DOI
  10.1090/memo/1144
- NAID
  120005997844
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Semiample invertible sheaves with semipositive continuous hermitian metrics2015
- Author(s)
  A. Moriwaki
- Journal Title
  
  Algebra and Number Theory
  
  Volume: 印刷中
- NAID
  120005646454
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Toward a geometric analogue of Dirichlet's unit theorem2015
- Author(s)
  A. Moriwaki
- Journal Title
  
  Kyoto J. of Math.
  
  Volume: 55 Pages: 799-817
- NAID
  120005708011
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Semiample invertible sheaves with semipositive continuous hermitian metrics2015
- Author(s)
  森脇　淳
- Journal Title
  
  Algebra and Number Theory
  
  Volume: 9 Issue: 2 Pages: 503-509
- DOI
  10.2140/ant.2015.9.503
- NAID
  120005646454
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22244003
[Journal Article] Semiample invertible sheaves with semipositive continuous hermitian metrics2015
- Author(s)
  A. Moriwaki
- Journal Title
  
  Algebra Number Theory
  
  Volume: 9 Pages: 503-509
- NAID
  120005646454
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Algebraic dynamical systems and Dirichlet's unit theorem on arithmetic varieties2015
- Author(s)
  H. Chen and A. Moriwaki
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 印刷中
- NAID
  120005997843
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Adelic divisors on arithmetic varieties2015
- Author(s)
  A. Moriwaki
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 印刷中
- NAID
  120005997844
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Arithmetic geometry of toric varieties. Positivity properties2015
- Author(s)
  Jos\'e Ignacio Burgos Gil, A. Moriwaki, Patrice Philippon and Mart{\'\i}n~Sombra
- Journal Title
  
  Journal of Algebraic Geometry
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Algebraic dynamical systems and Dirichlet's unit theorem on arithmetic varieties2015
- Author(s)
  H. Chen and A. Moriwaki
- Journal Title
  
  Int. Math. Res. Notices
  
  Volume: No.26 Pages: 13669-13716
- NAID
  120005997843
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Numerical characterization of nef arithmetic divisors on arithmetic surfaces2014
- Author(s)
  A. Moriwaki
- Journal Title
  
  Annales de la facult\'{e} des sciences de Toulouse
  
  Volume: XXIII Pages: 717-753
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Numerical characterization of nef arithmetic divisors on arithmetic surfaces2014
- Author(s)
  森脇　淳
- Journal Title
  
  Annales de la faculte des sciences de Toulouse
  
  Volume: XXIII Pages: 717-753
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22244003
[Journal Article] Toward Dirichlet's unit theorem on arithmetic varieties2013
- Author(s)
  森脇　淳
- Journal Title
  
  Kyoto J. of Math.
  
  Volume: 53 Issue: 1 Pages: 197-259
- DOI
  10.1215/21562261-1966116
- NAID
  120005302077
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244003, KAKENHI-PROJECT-25220701
[Journal Article] Arithmetic linear series with base conditions2012
- Author(s)
  森脇　淳
- Journal Title
  
  Math. Z.
  
  Volume: 272 Issue: 3-4 Pages: 1383-1401
- DOI
  10.1007/s00209-012-0991-2
- NAID
  120004996388
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244003
[Journal Article] Zariski decompositions on arithmetic surfaces2012
- Author(s)
  森脇　淳
- Journal Title
  
  Publ. RIMS Kyoto Univ.
  
  Volume: 48 Issue: 4 Pages: 799-898
- DOI
  10.2977/prims/89
- NAID
  120005055069
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244003
[Journal Article] Big arithmetic divisors on the projective spaces over Z2011
- Author(s)
  森脇淳
- Journal Title
  
  Kyoto J.of Math.
  
  Volume: 51 Pages: 503-534
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244003
[Journal Article] Estimation of arithmetic linear series2010
- Author(s)
  森脇淳
- Journal Title
  
  Kyoto J.Math.
  
  Volume: 50 Pages: 685-725
- NAID
  120005593677
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244003
[Journal Article] Free Basis Consisting of Strictly Small Sections2010
- Author(s)
  森脇淳
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 2010 Pages: 2145-1267
- NAID
  120004205185
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244003
[Journal Article] Continuity of volumes on arithmetic varieties2009
- Author(s)
  森脇淳
- Journal Title
  
  J. Algebraic Geometry 18
  
  Pages: 407-457
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] Rigidity of log morphisms, Publ. Res2008
- Author(s)
  森脇淳
- Journal Title
  
  Inst. Math. Sci. 44
  
  Pages: 371-401
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety2008
- Author(s)
  森脇淳
- Journal Title
  
  J. Math. Kyoto Univ. 48
  
  Pages: 7-26
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] Dominant rational maps in the category of log schemes2007
- Author(s)
  森脇淳, 岩成勇
- Journal Title
  
  東北数学雑誌 59
  
  Pages: 481-525
- NAID
  110006469009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] Dominant rational maps in the category of log schemes2007
- Author(s)
  岩成勇, 森脇淳
- Journal Title
  
  Tohoku Math. J. 59
  
  Pages: 481-525
- NAID
  110006469009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] On the finiteness of abelian varieties with bounded modular height2006
- Author(s)
  A.Moriwaki
- Journal Title
  
  Adv. Std. in Pure Math. 45
  
  Pages: 157-187
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540024
[Journal Article] On the finiteness of abelian varieties with bounded modular height2006
- Author(s)
  森脇淳
- Journal Title
  
  Adv. Std. in Pure Math. 45
  
  Pages: 157-187
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540024
[Journal Article] On the finiteness of abelian varieties with bounded modular height2006
- Author(s)
  Moriwaki, Atsushi
- Journal Title
  
  Advanced Studies in Pure Mathematics 45
  
  Pages: 157-187
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] On the finiteness of abelian varieties with bounded modular height2006
- Author(s)
  森脇淳
- Journal Title
  
  Advanced Studies in Pure Mathematics 45
  
  Pages: 157-187
- Data Source
  KAKENHI-PROJECT-15540024
[Journal Article] On the finiteness of abelian varieties with bounded modular height2006
- Author(s)
  森脇淳
- Journal Title
  
  Advanced Studies in Pure Mathematics (掲載予定)
- Data Source
  KAKENHI-PROJECT-15540024
[Journal Article] On the finiteness of abelian varieties with bounded modular height2006
- Author(s)
  森脇淳
- Journal Title
  
  Moduli spaces and arithmetic geometry, Adv. Stud. Pure Math. 45
  
  Pages: 157-187
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] Diophantine Geometry viewed from Arakelov Geometry2004
- Author(s)
  Atsushi Moriwaki
- Journal Title
  
  Sugaku Expositions 17
  
  Pages: 219-234
- Data Source
  KAKENHI-PROJECT-13440008
[Journal Article] Diophantine geometry Vvewed from Arakelov geometry2004
- Author(s)
  森脇淳
- Journal Title
  
  Sugaku Expositions 17 2
  
  Pages: 219-233
- Data Source
  KAKENHI-PROJECT-15540024
[Journal Article] The number of algebraic cycle with bounded degree2004
- Author(s)
  Atsushi Moriwaki
- Journal Title
  
  J.Math.Kyoto Univ. 44
  
  Pages: 819-890
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440008
[Journal Article] The number of algebraic cycles with bounded degree2004
- Author(s)
  Atsushi Moriwaki
- Journal Title
  
  J.Math.Kyoto Univ. 44
  
  Pages: 819-890
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440008
[Journal Article] Diophantine geometry viewed from Arakelov geometry2004
- Author(s)
  Atsushi Moriwaki
- Journal Title
  
  Sugaku Expositions 17
  
  Pages: 219-234
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440008
[Journal Article] Nef Divisors in codimension one on the moduli space of stable curves2002
- Author(s)
  A.Moriwaki
- Journal Title
  
  Comp.Math. 132
  
  Pages: 191-228
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340014
[Journal Article] Nef divisors in codimension one on the moduli space of stable curves2002
- Author(s)
  Atsushi Moriwaki
- Journal Title
  
  Compositio Math. 132
  
  Pages: 191-228
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440008
[Journal Article] Inequalities for semistable families of arithmetic varieties2001
- Author(s)
  Atsushi Moriwaki, Shu Kawaguchi
- Journal Title
  
  J.Math.Kyoto Univ. 41
  
  Pages: 97-182
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440008
[Journal Article] A generalization of conjectures of Bogomolov and Lang over finitely generated fields2001
- Author(s)
  Atsushi Moriwaki
- Journal Title
  
  Duke Math.J. 107
  
  Pages: 85-102
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440008
[Journal Article] The Q-Picard group of the moduli space of curves in positive characteristic2001
- Author(s)
  Atsushi Moriwaki
- Journal Title
  
  Internat.J.Math. 12
  
  Pages: 519-534
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440008
[Journal Article] The number of algebraic cycles with bounded degree
- Author(s)
  Atsushi Moriwaki
- Journal Title
  
  Journal of mathematics of Kyoto University (発表予定)
- Data Source
  KAKENHI-PROJECT-13440008
[Journal Article] Continuous extension of arithmetic volumes
- Author(s)
  森脇淳
- Journal Title
  
  International Mathematics Research Notices (掲載予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] The number of algebraic cycles with bounded degree
- Author(s)
  A.Moriwaki
- Journal Title
  
  J.Math.Kyoto Univ. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340014
[Journal Article] The number of algebraic cycles with bounded degree
- Author(s)
  A.Moriwaki
- Journal Title
  
  J.Math.Kyoto Univ. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340014
[Journal Article] On the finiteness of abelian varieties with bounded modular height
- Author(s)
  Moriwaki, Atsushi
- Journal Title
  
  Advanced Studies in Pure Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-17340007
[Journal Article] The number of algebraic cycles with bounded degree
- Author(s)
  A.moriwaki
- Journal Title
  
  J.Math.Kyoto Univ. (to appear)
- Data Source
  KAKENHI-PROJECT-14340014
[Journal Article] The number of algebraic cycles with bounded degree
- Author(s)
  森脇淳
- Journal Title
  
  J.of Mathematics of Kyoto Univ. (掲載予定)
- Data Source
  KAKENHI-PROJECT-15540024
[Presentation] Adelic structure of countable field2023
- Author(s)
  Moriwaki, Atsushi
- Organizer
  Luminy conference -- Global invariants of arithmetic varietires, France
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21H04429
[Presentation] Adelic structures of countable fields2023
- Author(s)
  森脇　淳
- Organizer
  Luminy conference -- Global invariants of arithmetic varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03203
[Presentation] Around Arakelov Geometry2021
- Author(s)
  Moriwaki
- Organizer
  Arithmetic algebraic geometry and mathematical physics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03203
[Presentation] Arithmetic dynamical system and Dirichlet’s property2019
- Author(s)
  Atsushi Moriwaki
- Organizer
  Geometry of arithmetic varietie
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06335
[Presentation] Extension property for non-reduced schemes2018
- Author(s)
  森脇　淳
- Organizer
  Groupe d'Etude sur les Problemes Diophantiens
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Extension property for non-reduced schemes2018
- Author(s)
  森脇　淳
- Organizer
  Groupe d’Etude sur les Probemes Diophantiens
- Invited
- Data Source
  KAKENHI-PROJECT-16H06335
[Presentation] Dirichlet property and dynamical system2017
- Author(s)
  森脇　淳
- Organizer
  Newton-Okounkov Bodies, Test Configurations, and Diophantine Geometry
- Place of Presentation
  Banff(カナダ)
- Year and Date
  2017-02-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Sufficient conditions for the Dirichlet property2017
- Author(s)
  森脇　淳
- Organizer
  Intercity seminar on Arakelov geometry 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06335
[Presentation] Dirichlet property and dynamical system2017
- Author(s)
  森脇　淳
- Organizer
  Newton-Okounkov Bodies, Test Configurations, and Diophantine Geometry
- Place of Presentation
  Banff, カナダ
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H06335
[Presentation] Sufficient conditions for the Dirichlet property2017
- Author(s)
  森脇　淳
- Organizer
  Intercity seminar on Arakelov geometry 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Semiample invertible sheaves with semipositive continuous hermitian metrics2015
- Author(s)
  A. Moriwaki
- Organizer
  The 10th Kagoshima Algebra?Analysis?Geometry Seminar
- Place of Presentation
  Kagoshima University
- Year and Date
  2015-02-17
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Semiample invertible sheaves with semipositive continuous hermitian metrics2015
- Author(s)
  森脇　淳
- Organizer
  Distribution of Rational and Holomorphic Curves in Algebraic Varieties
- Place of Presentation
  Banff, Canada
- Year and Date
  2015-03-19
- Invited
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Semiample invertible sheaves with semipositive continuous hermitian metrics2015
- Author(s)
  A. Moriwaki
- Organizer
  Distribution of Rational and Holomorphic Curves in Algebraic Varieties
- Place of Presentation
  Banff
- Year and Date
  2015-03-19
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Dirichlet property on algebraic varieties2014
- Author(s)
  A. Moriwaki
- Organizer
  New Development in Algebraic Geometry
- Place of Presentation
  National Taiwan University
- Year and Date
  2014-09-01
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Birational Arakelov Geometry2014
- Author(s)
  A. Moriwaki
- Organizer
  Scientific activities of the Franco-Chinese Workshop on Stability
- Place of Presentation
  Institut Fourier, Grenoble
- Year and Date
  2014-06-05
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Birational Arakelov Geometry2014
- Author(s)
  森脇　淳
- Organizer
  Scientific activities of the Franco-Chinese Workshop on Stability
- Place of Presentation
  Institut Fourier, Grenoble
- Year and Date
  2014-06-05
- Invited
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Dirichlet property on algebraic varieties2014
- Author(s)
  森脇　淳
- Organizer
  New Development in Algebraic Geometry
- Place of Presentation
  National Taiwan University
- Year and Date
  2014-09-01
- Invited
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Characterization of nef arithmetic divisors on arithmetic surfaces2012
- Author(s)
  森脇　淳
- Organizer
  Conference on the occasion of the 70th birthday of Lucien Szpiro
- Place of Presentation
  New York
- Invited
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Birational Arakelov Geometry2012
- Author(s)
  森脇淳
- Organizer
  Hawai 'i Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms
- Place of Presentation
  ハワイ大学
- Year and Date
  2012-03-06
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Birational Arakelov Geometry2012
- Author(s)
  森脇　淳
- Organizer
  London Mathematical Society EPSRC Durham Symposium, Interactions of Birational Geometry with other fields
- Place of Presentation
  Durham
- Invited
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Generalized Hodge index theorem on arithmetic varieties2012
- Author(s)
  森脇　淳
- Organizer
  Arakelov Geometry and $K$-theory
- Place of Presentation
  Toulouse
- Invited
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Birational Arakelov Geometry2012
- Author(s)
  森脇淳
- Organizer
  Algebraic Cycles and L-Functions, Final Workshop
- Place of Presentation
  レーゲンスブルグ大学(ドイツ)
- Year and Date
  2012-03-01
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Birational Arakelov geometry2011
- Author(s)
  森脇淳
- Organizer
  Workshop on Algebraic Geometry, Complex Dynamics and their Interaction
- Place of Presentation
  国立シンガポール大学
- Year and Date
  2011-01-07
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Toward Dirichlet's unit theorem on arithmetic varieties2011
- Author(s)
  森脇淳
- Organizer
  Sino-France Summer Institute on Arithmetic Geometry
- Place of Presentation
  南開大学(中国、天津)
- Year and Date
  2011-07-15
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Dirichlet's unit theorem on arithmetic toric varieties2011
- Author(s)
  森脇淳
- Organizer
  Kyoto-Paris-Barcelona Seminar on Arakelov Geometry
- Place of Presentation
  バルセロナ大学
- Year and Date
  2011-09-07
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Impossibility of Zariski decompositions on arithmetic varieties2011
- Author(s)
  森脇淳
- Organizer
  Heights in Diophantine and Arakelov Geometry
- Place of Presentation
  Tossa de Mar(スペイン)
- Year and Date
  2011-04-30
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Birational Arakelov Geometry2011
- Author(s)
  森脇淳
- Organizer
  Workshop on Algebraic Geometry, Complex Dynamics and their Interaction
- Place of Presentation
  National Univ.of Singapore, Singapore
- Year and Date
  2011-01-07
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Free basis consisting of strictly small sections2009
- Author(s)
  森脇淳
- Organizer
  Paris, Barcelona, Kyoto intercity seminar
- Place of Presentation
  パリ7大学
- Data Source
  KAKENHI-PROJECT-17340007
[Presentation] Continuity of volumes on arithmetic varieties-toward birational Arakelov geometry2008
- Author(s)
  森脇淳
- Organizer
  Arakerov geometry seminar
- Place of Presentation
  パリ7大学
- Year and Date
  2008-02-18
- Data Source
  KAKENHI-PROJECT-17340007
[Presentation] 算術多様体の Hilbert-Samuel公式2007
- Author(s)
  森脇淳
- Organizer
  代数学シンポジウム
- Place of Presentation
  神戸大学
- Data Source
  KAKENHI-PROJECT-17340007
[Presentation] Rigidity of log morphisms2005
- Author(s)
  森脇淳
- Organizer
  Arakelov Geometry
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach
- Data Source
  KAKENHI-PROJECT-17340007
[Presentation] Adelic divisors on arithmetic varieties
- Author(s)
  Atsushi Moriwaki
- Organizer
  Rational points, Rational curves and Entire Holomorphic Curves on Algebraic Varieties
- Place of Presentation
  Centre de Recherches Math., Canada
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Towards Dirichlet’s unit theorem on arithmetic varieties ― adelic case ―
- Author(s)
  森脇　淳
- Organizer
  Explicit formulae and Arakelov geometry
- Place of Presentation
  Institut de Mathematiques de Jussieu
- Invited
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Towards Dirichlet’s unit theorem on arithmetic varieties ― adelic case ―
- Author(s)
  Atsushi Moriwaki
- Organizer
  Explicit formulae and Arakelov geometry
- Place of Presentation
  Institut Math. Jussieu, France
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Towards Dirichlet’s unit theorem on arithmetic varieties ― adelic case ―
- Author(s)
  Atsushi Moriwaki
- Organizer
  Classification of Algebraic Varieties and Related Topics
- Place of Presentation
  Cetraro, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Towards Dirichlet’s unit theorem on arithmetic varieties ― adelic case ―
- Author(s)
  森脇　淳
- Organizer
  Classification of Algebraic Varieties and Related Topics
- Place of Presentation
  Cetraro
- Invited
- Data Source
  KAKENHI-PROJECT-22244003
[Presentation] Adelic divisors on arithmetic varieties
- Author(s)
  森脇　淳
- Organizer
  Rational points, Rational curves and Entire Holomorphic Curves on Algebraic Varieties
- Place of Presentation
  Centre de Recherches Mathematiques
- Invited
- Data Source
  KAKENHI-PROJECT-22244003

1. NAKAJIMA Hiraku (00201666)

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2. MARUYAMA Masaki (50025459)

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3. UENO Kenji (40011655)

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4. FUKAYA Kenji (30165261)

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5. KONO Akira (00093237)

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6. NAMIKAWA Yoshinori (80228080)

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7. YOSHIKAWA Kenichi (20242810)

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8. YOSHIDA Hiroyuki (40108973)

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9. KATO Fumiharu (50294880)

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10. KAWAGUCHI Shu (20324600)

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11. KATO Kazuya (90111450)

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12. MUKAI Shigeru (80115641)

# of Collaborated Projects: 5 results

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Moriwaki Atsushi 森脇 淳

MORIWAKI Atsushi 森脇 淳

森脇 淳 モリワキ アツシ

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Arakelov geometry over adelic curvesPrincipal Investigator

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Studies on Diophantine Geometry and Arakelov geometryPrincipal Investigator

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New development of algebraic geometry viewed from theoretical physicsPrincipal Investigator

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Constructions and developments of geomerty on moduli spaces and arithmetic varietiesPrincipal Investigator

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Diophantine geometry and moduli problemsPrincipal Investigator

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Moriwaki Atsushi 森脇淳

MORIWAKI Atsushi 森脇淳

森脇淳モリワキアツシ