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Existence of Unimodular Triangulations-positive Results (Memoirs of the American Mathematical Society, 270)
Language: English
Published by American Mathematical Society, 2021
ISBN 10: 1470447169 ISBN 13: 9781470447168
Soft cover. Condition: New. 8vo (25 cm), V, 83 pp. Laminated wrappers. "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." (publisher's synopsis).
