The number of vertices of a Fano polytope

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dc.creatorCasagrande, C.
dc.date2004-11-03
dc.date2005-11-15
dc.date.accessioned2026-07-07T06:38:58Z
dc.date.available2026-07-07T06:38:58Z
dc.descriptionLet 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.
dc.descriptionFinal version, to appear in Annales de l'Institut Fourier
dc.identifierhttps://arxiv.org/abs/math/0411073
dc.identifierhttp://arxiv.org/abs/math/0411073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100926
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject52B20, 14M25, 14J45
dc.titleThe number of vertices of a Fano polytope
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