Kawaguchi Shu 川口周

… Alternative Names

KAWAGUCHI Shu 川口周

川口周カワグチシュウ

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Researcher Number	20324600
Other IDs
Affiliation (Current)	2025: 京都大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help	2024 – 2025: 京都大学, 理学研究科, 教授 2014 – 2023: 同志社大学, 理工学部, 教授 2015: 同志社大学, 大学院理工学研究科, 教授 2012 – 2014: 京都大学, 理学(系)研究科(研究院), 准教授 2011: 京都大学, 大学院・理学研究科, 准教授 … More 2011: 大阪大学, 大学院・理学研究科, 准教授 2010 – 2011: 大阪大学, 理学研究科, 准教授 2007 – 2009: 大阪大学, 大学院・理学研究科, 准教授 2007: Osaka University, 理学研究科, 准教授 2006: Kyoto University, Graduate School of Science, Assistant Professor, 大学院理学研究科, 助手 2002 – 2004: 京都大学, 大学院・理学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Medium-sized Section 11:Algebra, geometry, and related fields / Geometry / Algebra
Keywords	Principal Investigator Arakelov幾何 / 非アルキメデス幾何 / アラケロフ幾何 / 標準的高さ / 解析的捩率 / トロピカル幾何 / 代数・数論力学系 / 解析的トーション / 数論・代数力学系 / Berkovich解析空間 … More / Berkovich 解析空間 / Arakelov 幾何 / height function / canonical height / 多項式自己同型 / 不変カレント / 標準的高さ関数 … More Except Principal Investigator モジュライ空間 / K3曲面 / カラビ・ヤウ多様体 / 導来圏 / BorcherdsΦ関数 / Calabi-Yau多様体 / 解析的捩率 / 双有理幾何 / アラケロフ幾何 / 代数幾何学 / 代数力学系 / 複素力学系 / クレモナ変換 / エンリケス曲面 / 複素幾何 / 数論幾何学 / 保型形式 / Borcherds積 / モジュライ / 算術力学系 / 双有理写像 / 代数多様体 / 捻じれ斉次座標環 / 代数多様体の実形式 / 自己写像力学次数 / 有限生成性 / 非可換代数幾何学 / 力学次数とエントロピー / Slow dynamics / 自己射のエントロピー / 実形式の非有限性 / 有理曲面 / カラビヤウ多様体 / 自己同型群 / 実形式 / 双有理代数幾何学 / 実形式と錐予想 / 数論力学系 / カラビヤウ多様体と錐予想 / 力学次数 / 双有理自己同型群 / Enriques曲面 / CalabiYau多様体 / 算術的多様体 / クラスター代数 / 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 / 幾何学的群論 / 表現論 / Thomae公式 / Enriquies曲面 / 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 / BCOV不変量 / birational geometry / nilpotent orbit / Mukai flop / deformation / complex symplectic variety / derived categories / 複素単純リー環 / シンプレクティック特異点 / 複素シンプレクティック多様性 / フロップ / 変形理論 / Poisson変形 / べき零軌道 / 向井フロップ / 変形 / 複素シンプレクティック多様体 / 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 / 代数曲線 / 無限次元代数 / 政論幾何学 / パンルヴェ方程式 / 剛幾何学 / 位相的場の理論 / モジュラー函手 / 共形場理論 / 無限可積分系 / コホモロジカル関手 / 超単純多様体 / 錐予想 / 自己同型 / 超ケーラー多様体 / 単有理多様体 / ICM招待講演 / 有理多様体 / ダイナミカル次数 / エントロピー / 双正則変換 / 双有理変換 / 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 / シンプレクティック多様体 / 手鋸箙多様体 / ザリスキ分解 / ベクトル束 / 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 / 半正定値 / 算術的力学系 / 楕円j関数 / Kummer 曲面 / BorcherdsΦ-関数 / 楕円モジュラー関数 / チョウラ・セルバーグ公式 / トマエ公式 / ボルチャーズφ関数 / ガウス写像 / 半安定還元 / 中野半正ベクトル束 / 複素解析幾何 / 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 / ディオファントス幾何 / 数論幾何 Less

代数多様体上の複素・代数・算術力学系の深化と融合
- Principal Investigator
  
  小木曽啓示
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  The University of Tokyo
非アルキメデス幾何とトロピカル幾何，代数・数論力学系Principal Investigator
- Principal Investigator
  
  川口周
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Doshisha University
代数多様体の自己写像に関する多角的研究
- Principal Investigator
  
  小木曽啓示
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  The University of Tokyo
Berkovich analytic space, tropical geometry, and algebraic/arithmetic dynamicsPrincipal Investigator
- Principal Investigator
  
  Kawaguchi Shu
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Doshisha University
Nonarchimedean geometry, algebraic, arithmetic dynamics and related fieldsPrincipal Investigator
- Principal Investigator
  
  Kawaguchi Shu
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Doshisha 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
Canonical heights and algebraic/arithmetic dynamicsPrincipal Investigator
- Principal Investigator
  
  KAWAGUCHI Shu
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- 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 varieties
- 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
Rational manifolds and Calabi-Yau manifolds in the view of complex dymanics
- Principal Investigator
  
  OGUISO Keiji
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
canonical heights and related topicsPrincipal Investigator
- Principal Investigator
  
  KAWAGUCHI Shu
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Analytic torsion and geometry of moduli spaces
- Principal Investigator
  
  YOSHIKAWA Kenichi
- Project Period (FY)
  2007 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
  The University of Tokyo
canonical heights on varieties defined over a number field and related topicsPrincipal Investigator
- Principal Investigator
  
  KAWAGUCHI Shu
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
  Kyoto University
Diophantine geometry and moduli problems
- 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
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
Arakelov幾何とQuillen計量Principal Investigator
- Principal Investigator
  
  川口周
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- 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

[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
[Journal Article] Effective faithful tropicalizations associated to linear systems on curves2021
- Author(s)
  Kawaguchi Shu、Yamaki Kazuhiko
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 270 Issue: 1323 Pages: 1-110
- DOI
  10.1090/memo/1323
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01114
[Journal Article] Resultants and the Borcherds Φ-function2018
- Author(s)
  S. Kawaguchi, S. Mukai, K.-I. Yoshikawa
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Resultants and the Borcherds Φ-function2018
- Author(s)
  Shu Kawaguchi, Shigeru Mukai, Ken-Ichi Yoshikawa
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 140 Issue: 6 Pages: 1471-1519
- DOI
  10.1353/ajm.2018.0045
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H06335, KAKENHI-PROJECT-15H02057, KAKENHI-PROJECT-16H03935, KAKENHI-PROJECT-18H01114
[Journal Article] Effective Faithful Tropicalizations Associated to Adjoint Linear Systems2018
- Author(s)
  Kawaguchi Shu、Yamaki Kazuhiko
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: - Issue: 19 Pages: 6089-6112
- DOI
  10.1093/imrn/rnx302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800012, KAKENHI-PROJECT-18H01114
[Journal Article] On inverse degrees of quadratic triangular automorphisms over Q-algebras2017
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Communications in Algebra
  
  Volume: 45 Issue: 12 Pages: 5297-5314
- DOI
  10.1080/00927872.2017.1310872
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701, KAKENHI-PROJECT-15K04817
[Journal Article] On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties2016
- Author(s)
  Shu Kawaguchi and Joseph H. Silverman
- Journal Title
  
  J. Reine Angew. Math.
  
  Volume: 713 Issue: 713 Pages: 21-48
- DOI
  10.1515/crelle-2014-0020
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04817
[Journal Article] Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties2016
- Author(s)
  Shu Kawaguchi and Joseph H. Silverman
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: 368 Issue: 7 Pages: 5009-5035
- DOI
  10.1090/tran/6596
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04817
[Journal Article] Algebraic rank on hyperelliptic graphs and graphs of genus 32016
- Author(s)
  Shu Kawaguchi, Kazuhiko Yamaki
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 56 Issue: 1 Pages: 177-196
- DOI
  10.1215/21562261-3445192
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800012, KAKENHI-PROJECT-15K04817
[Journal Article] Rank of divisors on hyperelliptic curves and graphs under specialization2015
- Author(s)
  Shu Kawaguchi and Kazuhiko Yamaki
- Journal Title
  
  Int. Math. Res. Not.
  
  Volume: 2015 Pages: 4121-4176
- DOI
  10.1093/imrn/rnu059
- NAID
  120005679857
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04817, KAKENHI-PROJECT-25220701
[Journal Article] ：Landen Transforms as Families of (Commuting) RationalSelf-Maps of Projective Space2014
- Author(s)
  Michael Joyce, Shu Kawaguchi and Joseph H. Silverman
- Journal Title
  
  Bull. Inst. Math. Acad. Sin. (N.S.)
  
  Volume: 9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Examples of dynamical degree equals arithmetic degree2014
- Author(s)
  Shu Kawaguchi and Joseph H. Silverman
- Journal Title
  
  The Michigan Mathematical Journal
  
  Volume: 63 Issue: 1 Pages: 41-63
- DOI
  10.1307/mmj/1395234358
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740015, KAKENHI-PROJECT-25220701
[Journal Article] Landen transforms as families of (commuting) rational self-maps of projective space2014
- Author(s)
  Michael Joyce, Shu Kawaguchi and Joseph H. Silverman
- Journal Title
  
  the Bulletin of the Institute of Mathematics Academia Sinica (New Series)
  
  Volume: 9 Pages: 547-584
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740015
[Journal Article] Nilpotency indices, degrees of iterations of affine triangular automorphisms, and Schubert calculus,2014
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Manuscripta Mathematica
  
  Volume: 144 Issue: 3-4 Pages: 311-339
- DOI
  10.1007/s00229-014-0658-x
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740015, KAKENHI-PROJECT-25220701
[Journal Article] Canonical vector heights on K3 surface -- A nonexistence result2013
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Rendiconti Lincei - Matematica e Applicazioni
  
  Volume: 24 Issue: 2 Pages: 181-197
- DOI
  10.4171/rlm/651
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740015, KAKENHI-PROJECT-25220701
[Journal Article] Local and global canonical height functions for affine space regular automorphisms2013
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Algebra Number Theory
  
  Volume: 7 Issue: 5 Pages: 1225-1252
- DOI
  10.2140/ant.2013.7.1225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740015, KAKENHI-PROJECT-25220701
[Journal Article] Inverse degree of an affine space triangular automorphism2013
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 141 Issue: 10 Pages: 3353-3360
- DOI
  10.1090/s0002-9939-2013-11631-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740015, KAKENHI-PROJECT-25220701
[Journal Article] Introduction to algebraic and arithmetic dynamics-a survey2012
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B25 Pages: 103-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740018
[Journal Article] Introduction to algebraic and arithmetic dynamics. a survey2011
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B25 Pages: 103-124
- URL
  http://www.kurims.kyoto-u.ac.jp/.kenkyubu/bessatsu.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740018
[Journal Article] Nonarchimedean Green functions and dynamics on projective space.2009
- Author(s)
  Shu Kawaguchi, Joseph H.Silverman
- Journal Title
  
  Mathematische Zeitschrift 262
  
  Pages: 173-197
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740018
[Journal Article] Canonical heights and the arithmetic complexity of morphisms on projective space2009
- Author(s)
  Shu Kawaguchi and Joseph H. Silverman
- Journal Title
  
  Pure and Applied Mathematics Quaterly
  
  Volume: 5(John Tate special issue) Pages: 1179-1195
- URL
  http://www.intlpress.com/JPAMQ/2009-index/PAMQ-vol-5-4.php
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740018
[Journal Article] Canonical heights and the arithmetic complexity of morphisms on projective space2009
- Author(s)
  Shu Kawaguchi, Joseph H.Silverman
- Journal Title
  
  Pure and Applied Mathematics Quarterly 5
  
  Pages: 1201-1217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740018
[Journal Article] Nonarchimedean Green functions and dynamics on projective space2009
- Author(s)
  Shu Kawaguchi and Joseph H. Silverman
- Journal Title
  
  Mathematisc he Zeitschrift
  
  Volume: 262 Issue: 1 Pages: 173-197
- DOI
  10.1007/s00209-008-0368-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740018
[Journal Article] Dynamics of projective morphisms having identical canonical heights2008
- Author(s)
  Shu Kawaguchi and Joseph H. Silverman, Addendum
- Journal Title
  
  Proc. Lond. Math. Soc. (3)97, no.1
  
  Pages: 272-272
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Projective surface automorphisms with positive topological entropy from an arithmetic viewpoint2008
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Amer. J. Math. 130
  
  Pages: 159-186
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Projective surface automorphisms with positive topological entropy from an arithmetic viewpoint2008
- Author(s)
  Shu kawaguchi
- Journal Title
  
  American Journal of Mathematics 130
  
  Pages: 159-186
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Dynamics of projective morphisms having identical canonical heights2007
- Author(s)
  Shu Kawaguchi and Joseph H. Silverman, Addendum
- Journal Title
  
  Proc. Lond. Math. Soc. (3)95, No. 2
  
  Pages: 519-544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Silverman, Dynamics of projective morphisms having identical canonical heights2007
- Author(s)
  Shu Kawaguchi and Joseph H
- Journal Title
  
  Proc. Lond. Math. Soc. (3)95
  
  Pages: 519-544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Dynamics of projective morphisms having identical canonical heights2007
- Author(s)
  Shu Kawaguchi and Joseph H. Silverman
- Journal Title
  
  Proceedings of the London Mathematics Society 95
  
  Pages: 519-544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Canonical heights for random iterations in certain varieties2007
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Int. Math. Res. Not. IMRN 2007 Art. ID rnm 023
  
  Pages: 33-33
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Canonical heights for random iterations in certain varieties2007
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  International Mathematics Research Notices 2007
  
  Pages: 33-33
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Canonical heights, invariant currents and dynamical eigensystems for line bundles2006
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  J. Reine Angew. Math. 597
  
  Pages: 135-173
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles2006
- Author(s)
  S.Kawaguchi
- Journal Title
  
  J. Reine Angew. Math. 597
  
  Pages: 135-173
- Data Source
  KAKENHI-PROJECT-14102001
[Journal Article] Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles2006
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Journal fur die reine und angewandte Mathematik 597
  
  Pages: 135-174
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Canonical height functions for affine plane automorphisms2006
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Mathematische Annalen 335
  
  Pages: 285-310
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Canonical height functions for affine plane polynomial automorphisms2006
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  Math. Ann 335
  
  Pages: 285-301
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Canonical heights for random iterations in certain varieties
- Author(s)
  Shu Kawaguchi
- Journal Title
  
  International Mathematics Research Notices (accepted)
- Data Source
  KAKENHI-PROJECT-18740008
[Journal Article] Dynamics of projective morphisms having identical canonical heights
- Author(s)
  Shu Kawaguchi, Joseph H.Silverman
- Journal Title
  
  Proceedings of the London Mathematics Society (accepted)
- Data Source
  KAKENHI-PROJECT-18740008
[Presentation] AAutomorphic forms for unitary groups and analytic torsions of Eisenstein K3 surfaces2024
- Author(s)
  Shu Kawaguchi
- Organizer
  Number Theory Seminar, National Taiwan Normal University
- Invited
- Data Source
  KAKENHI-PROJECT-23K03041
[Presentation] Eisenstein K3 surfaces and analytic torsion (Joint work with Ken-Ichi Yoshikawa)2023
- Author(s)
  Shu Kawaguchi
- Organizer
  Recent Developments in Algebraic Geometry, Arithmetic and Dynamics, Part 2
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03041
[Presentation] 代数多様体の忠実トロピカル化とトロピカル多様体の忠実埋め込み2023
- Author(s)
  川口周
- Organizer
  湯布院代数幾何ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-18H01114
[Presentation] 直線束に付随した忠実トロピカル化とトロピカル多様体の忠実埋め込み2022
- Author(s)
  川口周
- Organizer
  2022早稲田整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18H01114
[Presentation] j-invariant and Borcherds Phi-function2021
- Author(s)
  Shu Kawaguchi
- Organizer
  Recent Developments in Algebraic Geometry, Arithmetic and Dynamics Part 1, National University of Singapore
- Invited
- Data Source
  KAKENHI-PROJECT-18H01114
[Presentation] Andre-Oort予想の最近の進展（企画サーベイ）2021
- Author(s)
  川口周
- Organizer
  代数幾何学城崎シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18H01114
[Presentation] 数論力学系における高さ関数2021
- Author(s)
  川口周
- Organizer
  日本数学会2021年度年会企画特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-18H01114
[Presentation] Some arithmetic properties of one-parameter families of Henon maps2019
- Author(s)
  Shu Kawaguchi
- Organizer
  Vietnam-USA Joint Mathamatical Meeting, Special Session on Complex Geometry and Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01114
[Presentation] j-invariant and Borcherds Phi-function2019
- Author(s)
  Shu Kawaguchi
- Organizer
  Number Theory Seminar, Cambridge University
- Invited
- Data Source
  KAKENHI-PROJECT-18H01114
[Presentation] Heights and periodic points for one-parameter families of Henon maps2018
- Author(s)
  Shu Kawaguchi
- Organizer
  Intercity Seminar on Arakelov Geometry 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01114
[Presentation] Arithmetic properties of a certain family of Henon maps2017
- Author(s)
  Shu Kawaguchi
- Organizer
  BIRS Workshop on Arithmetic and Complex Dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04817
[Presentation] Arithmetic properties of a certain family of Henon maps2017
- Author(s)
  Shu Kawaguchi
- Organizer
  BIRS Workshop on Arithmetic and Complex Dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Effective faithful tropicalizations associated to linear systems2016
- Author(s)
  Shu Kawaguchi
- Organizer
  The 6th East Asia Number Theory Conference
- Place of Presentation
  Chern Institute of Mathematics, Nankai University, Tianjin city, China
- Year and Date
  2016-08-22
- Invited
- Data Source
  KAKENHI-PROJECT-15K04817
[Presentation] 3次曲面のモジュライ上の保型形式とK3曲面上の同変解析的捩率 (吉川謙一氏との joint work in progress)2016
- Author(s)
  川口周
- 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（北海道札幌市）
- Year and Date
  2016-10-10
- Invited
- Data Source
  KAKENHI-PROJECT-15K04817
[Presentation] Effective faithful tropicalizations associated to linear systems on curves2016
- Author(s)
  Shu Kawaguchi
- Organizer
  Arithmetic and Algebraic Geometry 2016
- Place of Presentation
  東大数理
- Year and Date
  2016-01-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04817
[Presentation] Effective faithful tropicalizations associated to linear systems2016
- Author(s)
  Shu Kawaguchi
- Organizer
  The conference Arakelov Geometry - Archimedean and Non-Archimedean Aspects
- Place of Presentation
  Universitat Regensburg, Regensburg city, Germany
- Year and Date
  2016-08-22
- Invited
- Data Source
  KAKENHI-PROJECT-15K04817
[Presentation] Effective faithful tropicalizations associated to linear systems on curves2016
- Author(s)
  Shu Kawaguchi
- Organizer
  Arithmetic and Algebraic Geometry 2016
- Place of Presentation
  東大数理(東京都目黒区)
- Year and Date
  2016-01-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Around canonical heights in arithmetic dynamics2015
- Author(s)
  Shu Kawaguchi
- Organizer
  Arithmetic 2015: Silvermania
- Place of Presentation
  Brown University, (Providence USA)
- Year and Date
  2015-08-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Around canonical heights in arithmetic dynamics2015
- Author(s)
  Shu Kawaguchi
- Organizer
  Arithmetic 2015: Silvermania
- Place of Presentation
  Brown University, USA
- Year and Date
  2015-08-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04817
[Presentation] Rank of divisors on curves and graphs underspecialization (with Kazuhiko Yamaki)2014
- Author(s)
  Shu Kawaguchi
- Organizer
  Japan-Taiwan Joint Conference on Number Theory
- Place of Presentation
  国民休暇村気仙沼大島
- Year and Date
  2014-09-03
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] 代数・数論力学系について2014
- Author(s)
  Shu Kawaguchi
- Organizer
  ：Symmetries of Kahler manifolds, dynamics and moduli spaces
- Place of Presentation
  SISSA, Trieste (Italy)
- Year and Date
  2014-09-26
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Rank of divisors on hyperelliptic curves and graphs2014
- Author(s)
  Shu Kawaguchi
- Organizer
  Specialization of Linear Series for Algebraic and Tropical Curves
- Place of Presentation
  Banff International Research Station (Canada)
- Year and Date
  2014-04-03
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] 代数・数論力学系について2014
- Author(s)
  川口周
- Organizer
  第59回代数学シンポジウム
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2014-09-09
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Rank of divisors on hyperelliptic curves and graphs2014
- Author(s)
  Shu Kawaguchi
- Organizer
  Specialization of Linear Series for Algebraic and Tropical Curves
- Place of Presentation
  Banff International Research Station (Canada)
- Year and Date
  2014-04-03
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Rank of divisors on curves and graphs under specialization (with Kazuhiko Yamaki)2014
- Author(s)
  Shu Kawaguchi
- Organizer
  Japan-Taiwan Joint Conference on Number Theory
- Place of Presentation
  国民休暇村気仙沼大島
- Year and Date
  2014-09-03
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Canonical vector heights on K3 surfaces2014
- Author(s)
  Shu Kawaguchi
- Organizer
  Symmetries of Kahler manifolds, dynamics and moduli spaces
- Place of Presentation
  SISSA, Trieste (Italy)
- Year and Date
  2014-09-26
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] 代数・数論力学系について2014
- Author(s)
  川口周
- Organizer
  第59回代数学シンポジウム
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2014-09-09
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Ranks of divisor classes on hyperelliptic curves and graphs under specialization2013
- Author(s)
  Shu Kawaguchi
- Organizer
  Brown University Algebra and Algebraic Geometry Seminar
- Place of Presentation
  Brown University, Providence, US
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Degrees of iterations of triangular automorphisms over Q-algebras2012
- Author(s)
  Shu Kawaguchi
- Organizer
  Algebraic Dynamics
- Place of Presentation
  University of Califormia, Berkeley, US
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Dynamical and Arithmetic Degrees of Rational Maps2012
- Author(s)
  Shu Kawaguchi
- Organizer
  NCTS Japan-Taiwan Joint Conference on Number Theory
- Place of Presentation
  NCTS, National Tsing Hua University, Taiwan
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Dynamical and Arithmetic Degrees of Rational Maps2012
- Author(s)
  Shu Kawaguchi
- Organizer
  RIMS研究集会　複素力学系の新展開
- Place of Presentation
  京都大学・数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Analytic torsion related to the moduli space of cubic surfaces2012
- Author(s)
  Shu Kawaguchi
- Organizer
  Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms
- Place of Presentation
  University of Hawaii(アメリカ)(招待講演)
- Year and Date
  2012-03-08
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Degrees of iterations of triangular automorphisms over Q-algebras2012
- Author(s)
  Shu Kawaguchi
- Organizer
  Doctorial Forum of Mathematics between Fudan and Kyoto Universities
- Place of Presentation
  京都大学・数学教室
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Analytic torsion related to the moduli of cubic surfaces2012
- Author(s)
  Shu Kawaguchi
- Organizer
  Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms, Special session on Arithmetic Geometry
- Place of Presentation
  University of Hawaiii at Manoa, USA
- Year and Date
  2012-03-08
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Difference of canonical height functions for affine regular automorphisms2011
- Author(s)
  Shu Kawaguchi
- Organizer
  Heights 2011
- Place of Presentation
  Tossa de Mar, Spain
- Year and Date
  2011-04-27
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Analytic torsion related to the moduli space of cubic surfaces2011
- Author(s)
  Shu Kawaguchi
- Organizer
  Sino-French Summer Institute 2011 in Arithmetic Geometry
- Place of Presentation
  Chern Institute of Mathematics(中国)(招待講演)
- Year and Date
  2011-07-14
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Difference of canonical height functions for affine regular automorphisms2011
- Author(s)
  Shu Kawaguchi
- Organizer
  Heights 2011
- Place of Presentation
  Tossa de Mar(スペイン)(招待講演)
- Year and Date
  2011-04-27
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Analytic torsion related to the moduli of cubic surfaces2011
- Author(s)
  Shu Kawaguchi
- Organizer
  Sino-France Summer Institute on Arithemtic Geometry, Chern Institute of Mathematics
- Place of Presentation
  Tianjin, China
- Year and Date
  2011-07-14
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Arakerov幾何,代数・数論力学系の問題2010
- Author(s)
  川口周
- Organizer
  複素幾何学の諸問題
- Place of Presentation
  京都大学数理解析研究所(招待講演)
- Year and Date
  2010-09-09
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Arakerov幾何,代数・数論力学系の問題2010
- Author(s)
  川口周
- Organizer
  RIMS研究集会:複素幾何学の諸問題
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-09-09
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Local and global canonical height functions for affine space regular automorphisms2010
- Author(s)
  Shu Kawaguchi
- Organizer
  AMS-MAA Joint Mathematics Meetings, Special Session on Arithmetic and Nonarchimedean Dynamics
- Place of Presentation
  Moscone West Center, San Francisco, US A
- Year and Date
  2010-01-13
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Local and global canonical height functions for affine space regular automorphisms2010
- Author(s)
  Shu Kawaguchi
- Organizer
  MAA-AMS Joint Mathematics Meetings, special session on Arithmetic and Nonarchimedean Dynamics
- Place of Presentation
  Moscone West Center, San Francisco (U.S.A)
- Year and Date
  2010-01-13
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Elliptic j-funciton and Borcherds Phi-funciton2009
- Author(s)
  Shu Kawaguchi
- Organizer
  多変数関数論葉山シンポジウムXIII
- Place of Presentation
  湘南国際村センター
- Year and Date
  2009-07-22
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] Finiteness results on commuting maps over complex numbers and arithmetic complexity2009
- Author(s)
  Shu Kawaguchi
- Organizer
  RIMS研究集会:複素力学系とその関連分野の総合的研究
- Place of Presentation
  京都大学
- Year and Date
  2009-12-18
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] 代数・数論力学系の紹介(サーベイ)2009
- Author(s)
  川口周
- Organizer
  RIMS研究集会:代数的整数論とその周辺
- Place of Presentation
  東京大学
- Year and Date
  2009-12-08
- Data Source
  KAKENHI-PROJECT-21740018
[Presentation] 代数多様体の射に関する標準的高さ関数2008
- Author(s)
  川口周
- Organizer
  代数学シンポジウム
- Place of Presentation
  盛岡駅前アイーナ
- Year and Date
  2008-08-06
- Data Source
  KAKENHI-PROJECT-18740008
[Presentation] Arithmetic degrees of rational self-maps of algebraic varieties and canonical heights for nef divisors on abelian varieties
- Author(s)
  Shu Kawaguchi
- Organizer
  代数幾何学城崎シンポジウム
- Place of Presentation
  県立城崎大会議館
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Arithmetic degrees of rational self-maps of algebraic varieties and canonical heights for nef divisors on abelian varieties
- Author(s)
  Shu Kawaguchi
- Organizer
  代数幾何学城崎シンポジウム
- Place of Presentation
  城崎大会議館
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Arithmetic degrees and dynamical degrees for morphisms, and nef canonical heights on abelian varieties
- Author(s)
  Shu Kawaguchi
- Organizer
  Moduli space and self-maps
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Dynamical and arithmetic degrees of rational self-maps of algebraic varieties
- Author(s)
  Shu Kawaguchi
- Organizer
  Conference on Diophantine Problems and Arithmetic Dynamics
- Place of Presentation
  Institute of Mathematics, Academia Sinica, Taiwan
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Dynamical and arithmetic degrees of rational self-maps of algebraic varieties
- Author(s)
  Shu Kawaguchi
- Organizer
  Conference on Diophantine Problems and Arithmetic Dynamics
- Place of Presentation
  Institute of Mathematics, Academia Scinica, Taiwan
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Arithmetic degrees of morphisms of algebraic varieties and canonical heights for nef divisors on abelian varieties.
- Author(s)
  Shu Kawaguchi
- Organizer
  Paris-Kyoto-Barcelona seminar (on Arakeov geoemtry)
- Place of Presentation
  Institut de Mathematiques de Jussieu, France
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Arithmetic degrees and dynamical degrees for morphisms, and nef canonical heights on abelian varieties
- Author(s)
  Shu Kawaguchi
- Organizer
  モジュライ空間と自己写像
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24740015
[Presentation] Arithmetic degrees of morphisms of algebraic varieties and canonical heights for nef divisors on abelian varieties
- Author(s)
  Shu Kawaguchi
- Organizer
  Paris-Kyoto-Barcelona seminar (on Arakeov geoemtry)
- Place of Presentation
  Institut de Mathematiques de de Jussieu, France
- Invited
- Data Source
  KAKENHI-PROJECT-24740015

1. MORIWAKI Atsushi (70191062)

# of Collaborated Projects: 6 results

# of Collaborated Products: 2 results
2. NAMIKAWA Yoshinori (80228080)

# of Collaborated Projects: 6 results

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55. ALLCOCK Daniel

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Kawaguchi Shu 川口 周

KAWAGUCHI Shu 川口 周

川口 周 カワグチ シュウ

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非アルキメデス幾何とトロピカル幾何，代数・数論力学系Principal Investigator

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Berkovich analytic space, tropical geometry, and algebraic/arithmetic dynamicsPrincipal Investigator

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Nonarchimedean geometry, algebraic, arithmetic dynamics and related fieldsPrincipal Investigator

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Canonical heights and algebraic/arithmetic dynamicsPrincipal Investigator

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Kawaguchi Shu 川口周

KAWAGUCHI Shu 川口周

川口周カワグチシュウ