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On the Size of Lattice Simplices with a Single Interior Lattice Point

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Publication:2910929
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DOI10.1137/110829052zbMath1252.52010arXiv1103.0629OpenAlexW2024390903MaRDI QIDQ2910929

Gennadiy Averkov

Publication date: 12 September 2012

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0629

zbMATH Keywords

volumeinequalitysimplexlattice polytopeMinkowski's fundamental theorembarycentric coordianteslattice-point enumerator


Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Mixed integer programming (90C11) Fano varieties (14J45)


Related Items

Largest integral simplices with one interior integral point: solution of Hensley's conjecture and related results, Optimizing Sparsity over Lattices and Semigroups, Elementary geometry on the integer lattice, Amoebas of genus at most one, Local optimality of Zaks-Perles-Wills simplices, Lattice Point Inequalities for Centered Convex Bodies



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