Research

Geometry & Topology Seminar

Geometric Bogomolov conjecture

  • Speaker: Xie Junyi (CNRS & BICMR)

  • Time: Dec 10, 2021, 14:30-15:30

  • Location: Zoom ID 896 3095 0371, Passcode 20211210

Abstract
With Xinyi Yuan, we prove the full geometric Bogomolov conjecture. We first reduce it to the case that the extension of the base fields has transcendence degree 1, and then we prove the later case by intersection theory. The proof uses Yamaki’s reduction theorem on the geometric Bogomolov conjecture and the Manin-Mumford conjecture proved by Raynaud and Hrushovski.

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