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• W2301009273 abstract "Unimodular triangulations of lattice polytopes arise in algebraic geometry, commutative algebra, integer programming and, of course, combinatorics. In this article, we review several classes of polytopes that do have unimodular triangulations and constructions that preserve their existence. We include, in particular, the first effective proof of the classical result by Knudsen-Mumford-Waterman stating that every lattice polytope has a dilation that admits a unimodular triangulation. Our proof yields an explicit (although doubly exponential) bound for the dilation factor." @default.
• W2301009273 created "2016-06-24" @default.
• W2301009273 creator A5038474666 @default.
• W2301009273 creator A5064700401 @default.
• W2301009273 creator A5075556519 @default.
• W2301009273 creator A5087311394 @default.
• W2301009273 date "2014-05-07" @default.
• W2301009273 modified "2023-09-24" @default.
• W2301009273 title "Existence of unimodular triangulations - positive results" @default.
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• W2301009273 hasPublicationYear "2014" @default.
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