Rchr
J-GLOBAL ID：201401036030501635
Update date: Feb. 01, 2024
Yamaki Kazuhiko
ヤマキ カズヒコ | Yamaki Kazuhiko
Affiliation and department：
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)：
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Shu Kawaguchi, Kazuhiko Yamaki. Effective faithful tropicalizations associated to linear systems on curves. Memoirs of the American Mathematical Society. 2021. 270. 1323. 1-122
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Shu Kawaguchi, Kazuhiko Yamaki. Effective Faithful Tropicalizations Associated to Adjoint Linear Systems. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 2019. 2019. 19. 6089-6112
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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
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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
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Kazuhiko Yamaki. Survey on the geometric Bogomolov conjecture. Mathematical Publications of Besançon, Algebra and Number Theory. 2017. 137-193
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MISC (5)：
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Kazuhiko Yamaki. Effective faithful tropicalizations associated to linear systems on curves. 2017. 126-143
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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
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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
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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
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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)：
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幾何的ボゴモロフ予想の進展
(日本数学会2021年度年会 2021)
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Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
(a few days conference at Sapporo 2019)
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Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
(Rational Points on Higher Dimensional Varieties 2019)
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Ample divisors on tropical varieties
(Workshop “Regensburg days on non-archimedean geometry” 2019)
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Positivity of the height of a divisor on an abelian variety over a function field
(Niigata Algebra Seminar 2019)
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Education (2)：
- 1997 - 2001 Kyoto University Graduate School of Science Department of Mathematics
- 1993 - 1997 Kyoto University Faculty of Science
Professional career (1)：
Work history (7)：
- 2021/04 - 現在 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
- 2002/04 - 2005/03 Kyoto University Research Institute for Mathematical Sciences JSPS Research Fellowship for Young Scientists (PD)
- 2001/10 - 2002/03 Kyoto University Graduate School of Science JSPS Research Fellowship for Young Scientists (PD)
- 1999/04 - 2001/09 Kyoto University Graduate School of Science JSPS Research Fellowship for Young Scientists (DC1)
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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
