Restricted successive minima

DOI10.2140/pjm.2014.269.341zbMath1314.11046arXiv1302.1407OpenAlexW2051023601MaRDI QIDQ482383

Yong-Cai Geng, Sumit K. Garg

Publication date: 30 December 2014

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1407

zbMATH Keywords

latticeconvex bodysuccessive minimaforbidden sublatticesshort lattice vectors

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06)

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On an effective variation of Kronecker’s approximation theorem avoiding algebraic sets ⋮ Helly numbers of algebraic subsets of \(\mathbb{R}^{d}\) and an extension of Doignon's theorem ⋮ On the covering radius of lattice zonotopes and its relation to view-obstructions and the lonely runner conjecture ⋮ Positive semigroups in lattices and totally real number fields

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