New York Journal of Mathematics
Volume 18 (2012) 891-910

  

Sara Checcoli, Francesco Veneziano, and Evelina Viada

A sharp Bogomolov-type bound

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Published: October 23, 2012
Keywords: Abelian varieties, Essential minimum, Bogomolov
Subject: 11G10, 11G50, 11J95

Abstract
We prove a sharp lower bound for the essential minimum of a nontranslate variety in certain abelian varieties. This uses and generalises a result of Galateau. Our bound is a new step in the 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.

Acknowledgements

All authors are supported by the Swiss National Science Foundation (SNSF)


Author information

Sara Checcoli:
Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland
sara.checcoli@unibas.ch

Francesco Veneziano:
Mathematisches Institut, Georg-August Universität Göttingen, Bunsenstrasse 3-5, D-37073 Göttingen, Deutschland
fvenez@uni-math.gwdg.de

Evelina Viada:
Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland
evelina.viada@unibas.ch