Classification of pseudo-symmetric simplicial reflexive polytopes

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

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Combinatorics, Algebraic Geometry, 52B20, 14M25, 14J45, 52B12

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http://salesiana.dossiersoluciones.com/handle/123456789/130920

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511294
 http://arxiv.org/abs/math/0511294
 Contemporary Mathematics 423 (2007), 269-282

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arXiv