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J-GLOBAL ID:201401036030501635   Update date: Jun. 24, 2024

Yamaki Kazuhiko

ヤマキ カズヒコ | Yamaki Kazuhiko
Affiliation and department:
Job title: Professor
Research field  (1): Algebra
Research keywords  (1): Arithmetic of Algebraic Varieties and Nonarchimedean Geometry
Research theme for competitive and other funds  (4):
  • 2018 - 2022 非アルキメデス的幾何のアラケロフ幾何への融合
  • 2018 - 2020 アラケロフ幾何の新展開
  • 2014 - 2018 Nonarchimedean geometry and its application to arithmetic of algebraic varieties
  • 2009 - 2012 Research on heights on algebraic varietiesfrom the viewpoint of Arakelov geometry and its application
Papers (17):
  • Shu Kawaguchi, Kazuhiko Yamaki. Effective faithful tropicalizations associated to linear systems on curves. Memoirs of the American Mathematical Society. 2021. 270. 1323. 1-122
  • Shu Kawaguchi, Kazuhiko Yamaki. Effective Faithful Tropicalizations Associated to Adjoint Linear Systems. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 2019. 2019. 19. 6089-6112
  • Kazuhiko Yamaki. Trace of abelian varieties over function fields and the geometric Bogomolov conjecture. Journal für die reine und angewandte Mathematik. 2018. 741. 133-159
  • Kazuhiko Yamaki. NON-DENSITY OF SMALL POINTS ON DIVISORS ON ABELIAN VARIETIES AND THE BOGOMOLOV CONJECTURE. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. 2017. 30. 4. 1133-1163
  • Kazuhiko Yamaki. Survey on the geometric Bogomolov conjecture. Mathematical Publications of Besançon, Algebra and Number Theory. 2017. 137-193
more...
MISC (5):
  • Kazuhiko Yamaki. Effective faithful tropicalizations associated to linear systems on curves. 2017. 126-143
  • 山木 壱彦. 代数曲線の因子の階数とグラフの因子の階数(川口周氏との共同研究). 射影多様体の幾何とその周辺2014報告集. 2015. 79-91
  • 山木 壱彦. アーベル多様体に対する幾何的ボゴモロフ予想. 第58回代数学シンポジウム(報告集). 2013
  • 山木 壱彦. Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristic. 代数幾何学シンポジウム-高次元多様体,正標数の話題を中心として- 報告集. 2002. 87-94
  • 山木 壱彦. 函数体上のボゴモロフ予想について. 代数幾何学シンポジューム 記録. 1999. 1999. 44-49
Lectures and oral presentations  (44):
  • 幾何的ボゴモロフ予想の進展
    (日本数学会2021年度年会 2021)
  • Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
    (a few days conference at Sapporo 2019)
  • Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
    (Rational Points on Higher Dimensional Varieties 2019)
  • Ample divisors on tropical varieties
    (Workshop “Regensburg days on non-archimedean geometry” 2019)
  • Positivity of the height of a divisor on an abelian variety over a function field
    (Niigata Algebra Seminar 2019)
more...
Education (2):
  • 1997 - 2001 Kyoto University Graduate School of Science Department of Mathematics
  • 1993 - 1997 Kyoto University Faculty of Science
Professional career (1):
  • 京都大学博士(理学) (京都大学)
Work history (8):
  • 2024/04 - 現在 Tohoku University Graduate School of Science Professor
  • 2021/04 - 2024/03 University of Tsukuba Faculty of Pure and Applied Sciences Professor
  • 2013/04 - 2021/03 Kyoto University Institute for Liberal Arts and Sciences Associate Professor
  • 2010/10 - 2013/03 Kyoto University Institute for the Promotion of Excellence in Higher Education Associate Professor
  • 2005/04 - 2010/09 Kyoto University Graduate School of Engineering Senior Lecturer
Show all
Awards (1):
  • 2021/03 - 日本数学会 日本数学会代数学賞 幾何的ボゴモロフ予想に関する研究
Association Membership(s) (1):
The Mathematical Society of Japan
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