Height for families of abelian varieties and the Geometric Bogomolov Conjecture

来源 :2016数学青年学者论坛(2016 Young Mathematician Forum) | 被引量 : 0次 | 上传用户：akajewelz

【摘要】

：

　　In the talk we prove a height inequality for a family of abelian varieties over a smooth curve,comparing the canonical heights for the fibers and the height

【作者】

：

Ziyang Gao

【机构】

：

CNRS(France)andPrincetonUniversity(USA)

【出处】

：

2016数学青年学者论坛(2016 Young Mathematician Forum)

【发表日期】

：

2016年12期

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　　In the talk we prove a height inequality for a family of abelian varieties over a smooth curve,comparing the canonical heights for the fibers and the height on the base.Then we use this height inequality to prove the Geometric Bogomolov Conjecture.This is joint work with P.Habegger.

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Height for families of abelian varieties and the Geometric Bogomolov Conjecture

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