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- Title
Facets and volume of Gorenstein Fano polytopes.
- Authors
Hibi, Takayuki; Tsuchiya, Akiyoshi
- Abstract
It is known that every integral convex polytope is unimodularly equivalent to a face of some Gorenstein Fano polytope. It is then reasonable to ask whether every normal polytope is unimodularly equivalent to a face of some normal Gorenstein Fano polytope. In the present paper, it is shown that, by giving new classes of normal Gorenstein Fano polytopes, each order polytope as well as each chain polytope of dimension d is unimodularly equivalent to a facet of some normal Gorenstein Fano polytopes of dimension
- Subjects
GORENSTEIN rings; GROBNER bases; CONVEX polytopes; POLYNOMIALS; PARTIALLY ordered sets; INTEGRAL functions
- Publication
Mathematische Nachrichten, 2017, Vol 290, Issue 16, p2619
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.201600396