Yamaki Kazuhiko
- Affiliation
- Faculty of Pure and Applied Sciences
- Official title
- Professor
- Research keywords
Arithmetic of Algebraic Varieties and Nonarchimedean Geometry - Research projects
Nonarchimedean geometry and its application to arithmetic of algebraic varieties 2014-04 -- 2018-03 Japan Society for the Promotion of Science/Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B) 3,900,000Yen Research on heights on algebraic varietiesfrom the viewpoint of Arakelov geometry and its application 2009-04 -- 2012-03 Japan Society for the Promotion of Science/Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B) 4,420,000Yen 非アルキメデス的幾何のアラケロフ幾何への融合 2018-04 -- 2022-03 Japan Society of for the Promotion of Science/科学研究費助成事業 基盤研究(C) 4,420,000Yen アラケロフ幾何の新展開 2018-04 -- 2020-03 Japan Society of for the Promotion of Science/二国間交流事業 フランス(MEAE-MESRI)との共同研究＜SAKURAプログラム＞ - Career history
2021-04 -- (current) University of TsukubaFaculty of Pure and Applied SciencesProfessor 2013-04 -- 2021-03 Kyoto UniversityInstitute for Liberal Arts and SciencesAssociate Professor 2010-10 -- 2013-03 Kyoto UniversityInstitute for the Promotion of Excellence in Higher EducationAssociate Professor 2005-04 -- 2010-09 Kyoto UniversityGraduate School of EngineeringSenior Lecturer 2002-04 -- 2005-03 Kyoto UniversityResearch Institute for Mathematical SciencesJSPS Research Fellowship for Young Scientists (PD) 2001-10 -- 2002-03 Kyoto UniversityGraduate School of ScienceJSPS Research Fellowship for Young Scientists (PD) 1999-04 -- 2001-09 Kyoto UniversityGraduate School of ScienceJSPS Research Fellowship for Young Scientists (DC1) - Academic background
1997-04 -- 2001-09 Kyoto University Graduate School of Science 1993-04 -- 1997-03 Kyoto University Faculty of Science - Degree
1999-03 京都大学修士（理学） 京都大学 2001-09 京都大学博士（理学） 京都大学 - Academic societies
2019-10 -- (current) The Mathematical Society of Japan - Honors & Awards
2021-03 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 - Articles
- Effective Faithful Tropicalizations Associated to Adjoint Linear Systems
Shu Kawaguchi Kazuhiko Yamaki
INTERNATIONAL MATHEMATICS RESEARCH NOTICES/2019(19)/pp.6089-6112, 2019-10 - Effective faithful tropicalizations associated to linear systems on curves
山木 壱彦
2016 代数幾何学シンポジウム 記録/pp.126-143, 2017-01 - 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）
山木 壱彦
射影多様体の幾何とその周辺2014報告集/pp.79-91, 2015-02 - Trace of abelian varieties over function fields and the geometric Bogomolov conjecture
YAMAKI Kazuhiko
Journal für die reine und angewandte Mathematik/741/pp.133-159, 2018-01 - NON-DENSITY OF SMALL POINTS ON DIVISORS ON ABELIAN VARIETIES AND THE BOGOMOLOV CONJECTURE
Kazuhiko Yamaki
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY/30(4)/pp.1133-1163, 2017-10 - アーベル多様体に対する幾何的ボゴモロフ予想
山木 壱彦
第58回代数学シンポジウム（報告集）, 2014-02 - Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension 5 with trivial trace
Kazuhiko Yamaki
MATHEMATICAL RESEARCH LETTERS/24(5)/pp.1555-1563, 2017-01 - A note on trees and linear algebraic groups over the polynomial rings
YAMAKI Kazuhiko
RIMS Preprint, RIMS-1455, 2004-05 - Survey on the geometric Bogomolov conjecture
YAMAKI Kazuhiko
Mathematical Publications of Besançon, Algebra and Number Theory/pp.137-193, 2017-01 - Strict supports of canonical measures and applications to the geometric Bogomolov conjecture
Kazuhiko Yamaki
COMPOSITIO MATHEMATICA/152(5)/pp.997-1040, 2016-05 - Algebraic rank on hyperelliptic graphs and graphs of genus
Shu Kawaguchi Kazuhiko Yamaki
KYOTO JOURNAL OF MATHEMATICS/56(1)/pp.177-196, 2016-04 - Rank of Divisors on Hyperelliptic Curves and Graphs Under Specialization
Shu Kawaguchi Kazuhiko Yamaki
INTERNATIONAL MATHEMATICS RESEARCH NOTICES/2015(12)/pp.4121-4176, 2015-01 - Geometric Bogomolov conjecture for abelian varieties and some results for those with some degeneration (with an appendix by Walter Gubler: the minimal dimension of a canonical measure)
Kazuhiko Yamaki
MANUSCRIPTA MATHEMATICA/142(3-4)/pp.273-306, 2013-11 - Graph invariants and the positivity of the height of the Gross-Schoen cycle for some curves
Kazuhiko Yamaki
MANUSCRIPTA MATHEMATICA/131(1-2)/pp.149-177, 2010-01 - Effective calculation of the geometric height and the Bogomolov conjecture for hyperelliptic curves over function fields
Kazuhiko Yamaki
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY/48(2)/pp.401-443, 2008-01 - Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristic
YAMAKI Kazuhiko
Asian Journal of Mathematics/8(3)/pp.409-426, 2004-01 - A direct proof of Moriwaki's inequality for semistably fibered surfaces and its generalization
K Yamaki
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY/42(3)/pp.485-508, 2002-12 - Geometric Bogomolov's conjecture for curves of genus 3 over function fields
K Yamaki
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY/42(1)/pp.57-81, 2002-03 - Introduction to Arakelov geometry
KAWAGUCHI Shu; MORIWAKI Atsuchi; YAMAKI Kazuhiko
Algebraic geometry in East Asia (Kyoto, 2001)/pp.1-74, 2002-01
- Effective Faithful Tropicalizations Associated to Adjoint Linear Systems
- Conference, etc.
- 幾何的ボゴモロフ予想の進展
山木 壱彦
日本数学会2021年度年会/2021-03-17 - Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
山木 壱彦
a few days conference at Sapporo/2019-12-26 - Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
山木 壱彦
Rational Points on Higher Dimensional Varieties/2019-12-06 - Ample divisors on tropical varieties
山木 壱彦
Workshop “Regensburg days on non-archimedean geometry”/2019-10-02 - Geometric Bogomolov Conjecture
山木 壱彦
Niigata Algebra Seminar/2019-07-05 - Positivity of the height of a divisor on an abelian variety over a function field
山木 壱彦
Niigata Algebra Seminar/2019-07-05 - Ample divisors on tropical toric varieties
山木 壱彦
京都代数幾何セミナー/2019-04-19 - 幾何的ボゴモロフ予想と非アルキメデス的幾何
山木 壱彦
日本数学会年会/2019-03-20 - Ample divisors on tropical toric varieties
山木 壱彦
The 14th Kagoshima Algebra-Analysis-Geometry Seminar/2019-02-12 - Skeleton of a strictly semistable pair (survey)
山木 壱彦
第6回代数幾何学研究集会-宇部-/2019-01-13 - 有限グラフの因子及び射影曲線の因子の階数と特殊化
山木 壱彦
立命館大学 数理科学科談話会/2018-12-13 - 代数多様体の非アルキメデス的解析幾何とトロピカル化(IV)
山木 壱彦
野田代数幾何学シンポジウム 2018/2018-03-29 - 代数多様体の非アルキメデス的解析幾何とトロピカル化(III)
山木 壱彦
野田代数幾何学シンポジウム 2018/2018-03-28 - 代数多様体の非アルキメデス的解析幾何とトロピカル化(II)
山木 壱彦
野田代数幾何学シンポジウム 2018/2018-03-27 - 代数多様体の非アルキメデス的解析幾何とトロピカル化(I)
山木 壱彦
野田代数幾何学シンポジウム 2018/2018-03-26 - Effective faithful tropicalizations associated to adjoint linear systems
山木 壱彦
Workshop: Log geometry, degenerations and related topics/2018-02-21 - Strict supports of the canonical measures and the geometric Bogomolov conjecture
山木 壱彦
Groupe d’Étude sur les Problèmes Diophantiens/2017-09-25 - Geometric Bogomolov conjecture for curves
山木 壱彦
Séminaire de théorie des nombres/2017-09-25 - 直線束を使った忠実トロピカル化：次元が高い場合でも言えること
山木 壱彦
第５回 K3曲面・エンリケス曲面ワークショップ/2017-08-22 - Strict supports of canonical measures and applications to the geometric Bogomolov conjecture
山木 壱彦
Arakelov Geometry and diophantine applications/2017-06-29 - 曲線に対する幾何的ボゴモロフ予想の証明---代数幾何的な議論を中心に
山木 壱彦
九大代数幾何セミナー/2017-05-18 - ベルコビッチ曲線の直線束に付随したトロピカル化
山木 壱彦
野田代数幾何学シンポジウム 2017/2017-03-21 - Effective faithful tropicalizations associated to linear systems on curves
山木 壱彦
代数幾何学城崎シンポジウム2016/2016-10-17--2016-10-21 - Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
山木 壱彦
special events (higher invariants)/2016-09-27 - Non-density of small points on divisors on abelian varieties and the Bogomolov conjecture
山木 壱彦
special events (higher invariants)/2016-09-20 - more...
- 幾何的ボゴモロフ予想の進展
- Teaching
2021-04 -- 2022-03 数学外書輪講 I 筑波大学 理工学群 数学類 2019-04 -- 2020-03 数学特殊研究 b4 京都大学 大学院理学研究科 2019-04 -- 2020-03 数学基盤研究 代数学 d 京都大学 大学院理学研究科 2019-04 -- 2020-03 数学特殊研究 b3 京都大学 大学院理学研究科 2019-04 -- 2020-03 数学基盤研究 代数学 c 京都大学 大学院理学研究科 2018-04 -- 2019-03 数学特殊研究 b2 京都大学 大学院理学研究科 2018-04 -- 2019-03 数学基盤研究 代数学 b 京都大学 大学院理学研究科 2018-04 -- 2019-03 数学特殊研究 b1 京都大学 大学院理学研究科 2018-04 -- 2019-03 数学基盤研究 代数学 a 京都大学 大学院理学研究科 2019-12 -- 2019-12 特別講義 代数幾何学A 神戸大学 理学部／大学院理学研究科 more... - University Management
2021-04 -- (current) Editorial Committee of Tsukuba Journal of Mathematics Committee member
(Last updated: 2021-07-17)