Enumeration of lattice 3-polytopes by their number of lattice points

DOI10.48550/arXiv.1601.02577zbMath1401.52023arXiv1601.02577OpenAlexW2753535706MaRDI QIDQ161308

Mónica Blanco, Francisco Santos

Publication date: 11 January 2016

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02577

zbMATH Keywords

finitenesslattice pointslattice polytopesunimodular equivalencelattice width

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

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Cites Work

• Unnamed Item
• Lattice 3-polytopes with six lattice points
• Lattice 3-polytopes with few lattice points
• Quantum jumps of normal polytopes
• Lattice polytopes with distinct pair-sums
• Minkowski length of 3D lattice polytopes
• Canonical Toric Fano Threefolds
• Polytopes, Rings, and K-Theory
• Integral Polyhedra in Three Space
• Lectures on Polytopes
• Toric Surface Codes and Minkowski Length of Polygons
• Lattice Tetrahedra