Packing minima and lattice points in convex bodies

DOI10.2140/moscow.2021.10.25zbMath1467.52025arXiv2005.02234OpenAlexW3023693569MaRDI QIDQ2229335

Fei Xue, Martin Henk, Matthias Schymura

Publication date: 23 February 2021

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02234

zbMATH Keywords

convex bodieslatticessuccessive minimacovering minimapacking minima

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Cites Work

• Unnamed Item
• Variations of Minkowski's theorem on successive minima
• The difference body of a convex body
• Inner and outer \(j\)-radii of convex bodies in finite-dimensional normed spaces
• Successive-minima-type inequalities
• Eine Bemerkung zur Reduktionstheorie quadratischer Formen
• Inequalities for convex bodies and polar reciprocal lattices in \(\mathbb{R}^ n\). II: Application of \(K\)-convexity
• On successive minima-type inequalities for the polar of a convex body
• A discrete analogue for Minkowski’s second theorem on successive minima
• Polar analogues of two theorems by Minkowski
• Convex and Discrete Geometry

This page was built for publication: Packing minima and lattice points in convex bodies