Classification of pseudo-symmetric simplicial reflexive polytopes

Details Classification of pseudo-symmetric simplicial reflexive polytopes Classification of pseudo-symmetric simplicial reflexive polytopes

2005-11-11

arxiv.org/abs/math/0511294v2

Contemporary Mathematics 423 (2007), 269-282

Mathematics

Combinatorics

AMS-LaTeX, 16 pages; references updated, introduction corrected

Scientific paper

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.

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