Geometric Bogomolov conjecture in arbitrary characteristics
Algebraic Geometry
2022-07-20 v1
Abstract
The goal of this paper is to 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 in algebraic geometry. The proof uses Yamaki's reduction theorem on the geometric Bogomolov conjecture and the Manin--Mumford conjecture proved by Raynaud and Hrushovski.
Cite
@article{arxiv.2108.09722,
title = {Geometric Bogomolov conjecture in arbitrary characteristics},
author = {Junyi Xie and Xinyi Yuan},
journal= {arXiv preprint arXiv:2108.09722},
year = {2022}
}
Comments
29 pages