中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

代数几何研讨班

Speaker: 骆文斌（北京大学）

Inviter: 欧文浩 副研究员

Language: Chinese

Title:Geometric Bogomolov conjecture for semiabelian varieties

Time&Venue: 2025年6月27日（星期五）14:00-15:00

&南楼N913

Abstract:The geometric Bogomolov conjecture, originally formulated for abelian varieties over function fields, suggests that for a closed subvariety, its points of arbitrarily small canonical heights are Zariski dense if and only if it is special. This was a long-standing conjecture until the proof of Xie-Yuan. We generalize and prove the conjecture for semiabelian varieties. A new phenomenon is that a special subvariety may not have a Zariski dense set of points of height 0. This is a joint work with Jiawei Yu.