Counterexamples to a conjecture of Woods

DOI10.1215/00127094-2017-0018zbMath1380.11086arXiv1604.07644OpenAlexW2344293084WikidataQ123280834 ScholiaQ123280834MaRDI QIDQ2411583

Uri Shapira, Oded Regev, Barak Weiss

Publication date: 24 October 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07644

zbMATH Keywords

covering radiusMinkowski conjectureWoods conjecturewell rounded lattices

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (5)

On conjectures of Minkowski and Woods for \(n=10\) ⋮ On lattice extensions ⋮ Counterexamples to the Woods conjecture in dimensions \(d \geq 24\) ⋮ Stable and well-rounded lattices in diagonal orbits ⋮ Non-negative integral matrices with given spectral radius and controlled dimension

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