English

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

Number Theory 2014-07-14 v1 Algebraic Geometry

Abstract

A classical theorem of Minkowski and Hlawka states that there exists a lattice in R^n 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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Cite

@article{arxiv.1407.3073,
  title  = {Vari\'et\'es ab\'eliennes et th\'eor\`eme de Minkowski-Hlawka},
  author = {Pascal Autissier},
  journal= {arXiv preprint arXiv:1407.3073},
  year   = {2014}
}

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