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Abelian varieties and a Minkowski-Hlawka theorem

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Publication:5965190
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DOI10.1007/s00229-015-0791-1zbMath1334.11051arXiv1407.3073OpenAlexW1858151287MaRDI QIDQ5965190

Pascal Autissier

Publication date: 2 March 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3073

zbMATH Keywords

lattice packingcomplex abelian varietiesMinkowski-Hlawka theoremschemes


Mathematics Subject Classification ID

Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Lattice packing and covering (number-theoretic aspects) (11H31)


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On the density of cyclotomic lattices constructed from codes



Cites Work

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  • Improved sphere packing lower bounds from Hurwitz lattices
  • On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)
  • Approximate formulas for some functions of prime numbers
  • Hlawka's theorem in the geometry of numbers
  • Existence theorems in the geometry of numbers
  • A NEW LOWER BOUND FOR HERMITE'S CONSTANT FOR SYMPLECTIC LATTICES
  • A Note on Sphere Packings in High Dimension
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