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A discrete analogue for Minkowski’s second theorem on successive minima

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Publication:2882938
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DOI10.1515/advgeom-2012-0002zbMath1247.52006arXiv1001.3729OpenAlexW2022911026MaRDI QIDQ2882938

Romanos-Diogenes Malikiosis

Publication date: 11 May 2012

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3729


zbMATH Keywords

lattice pointssuccessive minimaMinkowski theorem


Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Inequalities and extremum problems involving convexity in convex geometry (52A40)


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Interpolating between volume and lattice point enumerator with successive minima ⋮ On densities of lattice arrangements intersecting every \(i\)-dimensional affine subspace ⋮ Packing minima and lattice points in convex bodies ⋮ Notes on lattice points of zonotopes and lattice-face polytopes ⋮ Lattice Point Inequalities for Centered Convex Bodies ⋮ A GENERALIZATION OF THE DISCRETE VERSION OF MINKOWSKI'S FUNDAMENTAL THEOREM ⋮ Discrete analogues of John's theorem




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