Benjamin Nill
Published 2005-11-11, updated 2006-05-02Version 2
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.
Comments: AMS-LaTeX, 16 pages; references updated, introduction corrected
Journal: Contemporary Mathematics 423 (2007), 269-282
Classification of terminal simplicial reflexive d-polytopes with 3d-1 vertices
Classification of smooth lattice polytopes with few lattice points
Classification of subspaces in ${\mathbb{F}}^2\otimes {\mathbb{F}}^3$ and orbits in ${\mathbb{F}}^2\otimes {\mathbb{F}}^3\otimes {\mathbb{F}}^r$
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