A sharp Bogomolov-type bound
Number Theory
2016-05-18 v1
Abstract
We prove a sharp lower bound for the essential minimum of a non-translate variety in certain abelian varieties. This uses and generalises a result of Galateau. Our bound is a new step in direction of an abelian analogue by David and Philippon of a toric conjecture of Amoroso and David and has applications in the framework of anomalous intersections.
Keywords
Cite
@article{arxiv.1605.05198,
title = {A sharp Bogomolov-type bound},
author = {Sara Checcoli and Francesco Veneziano and Evelina Viada},
journal= {arXiv preprint arXiv:1605.05198},
year = {2016}
}
Comments
18 pages