On the classification of origin-symmetric convex lattice sets

DOI10.1007/S41980-024-00876-XzbMATH Open1543.52017MaRDI QIDQ6563297

Zongyuan Chu, Lin Si

Publication date: 27 June 2024

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

classificationaffine invarianceconvex lattice setsinteger unimodular transformationsorigin-symmetric convex lattice sets

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Cites Work

• Title not available (Why is that?)
• Unique determination of convex lattice sets
• On the projections of convex lattice sets
• Free polygon enumeration and the area of an integral polygon
• On a discrete version of Alexandrov's projection theorem
• Sums, projections, and sections of lattice sets, and the discrete covariogram
• An analogue of the Aleksandrov projection theorem for convex lattice polygons
• A generalization of Winternitz’s theorem and its discrete version

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