Vari\'et\'es ab\'eliennes et th\'eor\`eme de Minkowski-Hlawka

Abstract

A classical theorem of Minkowski and Hlawka states that there exists a lattice in Rn with packing density at least 21-n. Buser and Sarnak proved the analogue of this result in the context of complex abelian varieties. Here we give an improvement of this analogue; this shows a conjecture of Muetzel.

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