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A sharp Bogomolov-type bound

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.

preprint2016arXivOpen access
Sara CheccoliFrancesco VenezianoEvelina Viada
math.NT
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Open access3 authors1 topic
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Sara CheccoliFrancesco VenezianoEvelina Viada

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