Geometric Bogomolov conjecture in arbitrary characteristics

被引：0

作者：

Junyi Xie

Xinyi Yuan

机构：

[1] Peking University,Beijing International Center for Mathematical Research

来源：

Inventiones mathematicae | 2022年 / 229卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a proof of the full geometric Bogomolov conjecture.

引用

页码：607 / 637

页数：30

共 50 条

[1] Geometric Bogomolov conjecture in arbitrary characteristics
Xie, Junyi
Yuan, Xinyi
INVENTIONES MATHEMATICAE, 2022, 229 (02) : 607 - 637
[2] THE GEOMETRIC BOGOMOLOV CONJECTURE
Cantat, Serge
Gao, Ziyang
Habegger, Philipp
Xie, Junyi
DUKE MATHEMATICAL JOURNAL, 2021, 170 (02) : 247 - 277
[3] The Geometric Bogomolov Conjecture for Curves of Small Genus
Faber, X. W. C.
EXPERIMENTAL MATHEMATICS, 2009, 18 (03) : 347 - 367
[4] Heights in families of abelian varieties and the Geometric Bogomolov Conjecture
Gao, Ziyang
Habegger, Philipp
ANNALS OF MATHEMATICS, 2019, 189 (02) : 527 - 604
[5] Strict supports of canonical measures and applications to the geometric Bogomolov conjecture
Yamaki, Kazuhiko
COMPOSITIO MATHEMATICA, 2016, 152 (05) : 997 - 1040
[6] Trace of abelian varieties over function fields and the geometric Bogomolov conjecture
Yamaki, Kazuhiko
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2018, 741 : 133 - 159
[7] Geometric Bogomolov's conjecture for curves of genus 3 over function fields
Yamaki, K
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2002, 42 (01): : 57 - 81
[8] Small points and Bogomolov conjecture
Litcanu, Razvan
EXPOSITIONES MATHEMATICAE, 2007, 25 (01) : 37 - 51
[9] A consequence of the relative Bogomolov conjecture
Dimitrov, Vesselin
Gao, Ziyang
Habegger, Philipp
JOURNAL OF NUMBER THEORY, 2022, 230 : 146 - 160
[10] Geometric Bogomolov conjecture for nowhere degenerate abelian varieties of dimension 5 with trivial trace
Yamaki, Kazuhiko
MATHEMATICAL RESEARCH LETTERS, 2017, 24 (05) : 1555 - 1563

← 1 2 3 4 5 →