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arXiv · 1605.05198

A sharp Bogomolov-type bound

Sara Checcoli·Francesco Veneziano·Evelina Viada
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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.

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Sara Checcoli, Francesco Veneziano, Evelina Viada. 2016-05-17. A sharp Bogomolov-type bound. https://arxiv.org/abs/1605.05198

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