Classification of pseudo-symmetric simplicial reflexive polytopes
نویسنده
چکیده
Gorenstein toric Fano varieties correspond to so called reflexive polytopes. If such a polytope contains a centrally symmetric pair of facets, we call the polytope, respectively the toric variety, pseudo-symmetric. Here we present a complete classification of pseudo-symmetric simplicial reflexive polytopes. This is a generalization of a result of Ewald on pseudosymmetric nonsingular toric Fano varieties and recent work of Wirth. As applications we determine the maximal number of vertices, facets and lattice points, and show that the vertices can be chosen to have coordinates −1, 0,
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تاریخ انتشار 2005