Cohomology of wheels on toric varieties

被引：0

作者：

Craw, Alastair ^{[1
]}

Quintero Velez, Alexander ^{[2
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

[2] Univ Valle, Dept Matemat, Cali, Colombia

来源：

Hokkaido Mathematical Journal | 2015年 / 44卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Cohomology of complexes; toric varieties; syzygies;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe explicitly the cohomology of the total complex of certain diagrams of invertible sheaves on normal toric varieties. These diagrams, called wheels, arise in the study of toric singularities associated to dimer models. Our main tool describes the generators in a family of syzygy modules associated to the wheel in terms of walks in a family of graphs.

引用

页码：47 / 79

页数：33

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