A sharp Bogomolov-type bound

作者：Checcoli Sara^*; Veneziano Francesco; Viada Evelina

来源：The New York Journal of Mathematics, 2012, 18: 891-910.

• Abelian varieties
• Essential minimum
• Bogomolov

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.

• 出版日期2012