Variétés abéliennes et théorème de Minkowski-Hlawka

2014/07/11 by Pascal Autissier, Autissier, Pascal
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.1407.3073

in French

arxiv created 2014/07/11 · arxiv updated 2014/07/14

Abstract

A classical theorem of Minkowski and Hlawka states that there exists a lattice in Rⁿ with packing density at least 2^1-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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