Tilting objects on tubular weighted projective lines:A cluster tilting approach

被引：0

作者：

Jianmin Chen ^{[1
]}

Yanan Lin ^{[1
]}

Pin Liu ^{[2
]}

Shiquan Ruan ^{[1
]}

机构：

[1] School of Mathematical Sciences,Xiamen University

[2] Department of Mathematics,Southwest Jiaotong University

来源：

Science China(Mathematics) | 2021年 / 64卷 / 04期

基金：

中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;

关键词：

D O I：

暂无

中图分类号：

O185 [射影（投影）几何、画法几何];

学科分类号：

0701 ; 070101 ;

摘要：

Using the cluster tilting theory, we investigate the tilting objects in the stable category of vector bundles on a weighted projective line of weight type(2, 2, 2, 2). More precisely, a tilting object consisting of rank-two bundles is constructed via the cluster tilting mutation. Moreover, the cluster tilting approach also provides a new method to classify the endomorphism algebras of the tilting objects in the category of coherent sheaves and the associated bounded derived category.

引用

页码：691 / 710

页数：20

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