The number of vertices of a Fano polytope

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Let X be a complex, Gorenstein, Q-factorial, toric Fano variety. We prove two conjectures on the maximal Picard number of X in terms of its dimension and its pseudo-index, and characterize the boundary cases. Equivalently, we determine the maximal number of vertices of a simplicial reflexive polytope.
Final version, to appear in Annales de l'Institut Fourier

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

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http://salesiana.dossiersoluciones.com/handle/123456789/100926

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411073
 http://arxiv.org/abs/math/0411073

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arXiv