Existence of unimodular triangulations-positive results / Christian Haase, Andreas Paffenholz, Lindsay C. Piechnik, Francisco Santos.
| Author/creator | Haase, Christian |
| Other author | Paffenholz, Andreas. |
| Other author | Piechnik, Lindsay C. |
| Other author | Santos, Francisco, 1968- |
| Format | Electronic |
| Publication Info | Providence : American Mathematical Society, [2021] |
| Description | v, 83 pages : illustrations ; 26 cm |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; Volume 270, Number 1321 (fifth of 7 numbers) |
| 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"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references (pages 77-83). |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2022007633 |
| ISBN | 9781470447168 (paperback) |
| ISBN | (epub) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |