Stringy E-functions of canonical toric Fano threefolds and their applications

被引：1

作者：

Batyrev, V. V. ^{[1
]}

Schaller, K. ^{[2
]}

机构：

[1] Univ Tubingen, Math Inst, Tubingen, Germany

[2] Free Univ Berlin, Math Inst, Berlin, Germany

来源：

IZVESTIYA MATHEMATICS | 2019年 / 83卷 / 04期

关键词：

Fano varieties; K3-surfaces; lattice polytopes; toric varieties; HODGE NUMBERS; VARIETIES;

D O I：

10.1070/IM8835

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Delta be a 3-dimensional lattice polytope containing exactly one interior lattice point. We give a simple combinatorial formula for computing the stringy E-function of the 3-dimensional canonical toric Fano variety X-Delta associated with Delta. Using the stringy Libgober-Wood identity and our formula, we generalize the well-known combinatorial identity Sigma(theta <=Delta dim()(theta)=1) v(theta) . v(theta*) = 24 which holds for 3-dimensional reflexive polytopes Delta.

引用

页码：676 / 697

页数：22

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