The number of vertices of a Fano polytope

被引：40

作者：

Casagrande, C ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat L Tonellil, I-56127 Pisa, Italy

来源：

ANNALES DE L INSTITUT FOURIER | 2006年 / 56卷 / 01期

关键词：

toric varieties; Fano varieties; reflexive polytopes; Fano polytopes;

D O I：

10.5802/aif.2175

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a Corenstein, 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.

引用

页码：121 / 130

页数：10

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