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Classification of pseudo-symmetric simplicial reflexive polytopes

Benjamin Nill
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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.

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Benjamin Nill. 2006-05-02. Classification of pseudo-symmetric simplicial reflexive polytopes. https://arxiv.org/abs/math/0511294

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