The geometric Bogomolov conjecture
Serge Cantat, Ziyang Gao, Philipp Habegger, Junyi Xie
TL;DR
This paper proves the geometric Bogomolov conjecture for function fields of characteristic zero, confirming a significant hypothesis in algebraic geometry related to the distribution of rational points.
Contribution
The paper provides a proof of the geometric Bogomolov conjecture specifically over function fields of characteristic zero, advancing understanding in algebraic geometry.
Findings
Confirmed the geometric Bogomolov conjecture in characteristic zero
Established new techniques for analyzing rational points on algebraic varieties
Contributed to the broader understanding of height functions in algebraic geometry
Abstract
We prove the geometric Bogomolov conjecture over a function field of characteristic zero.
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