Displaying similar documents to “Piecewise polynomial functions, convex polytopes and enumerative geometry”

The number of vertices of a Fano polytope

Cinzia Casagrande (2006)

Annales de l’institut Fourier

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Let X be a Gorenstein, -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.