Classification of pseudo-symmetric simplicial reflexive polytopes
Combinatorics
2007-06-13 v2 Algebraic Geometry
Abstract
A reflexive polytope, respectively its associated Gorenstein toric Fano variety, is called pseudo-symmetric, if the polytope has a centrally symmetric pair of facets. Here we present a complete classification of pseudo-symmetric simplicial reflexive polytopes together with some applications. This generalizes a result of Ewald on pseudo-symmetric nonsingular toric Fano varieties.
Keywords
Cite
@article{arxiv.math/0511294,
title = {Classification of pseudo-symmetric simplicial reflexive polytopes},
author = {Benjamin Nill},
journal= {arXiv preprint arXiv:math/0511294},
year = {2007}
}
Comments
AMS-LaTeX, 16 pages; references updated, introduction corrected