On Tubular Tilting Objects in the Stable Category of Vector Bundles
On Tubular Tilting Objects in the Stable Category of Vector Bundles作者机构：School of Mathematical Sciences Xiamen University
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)
年 卷 期：2019年第35卷第4期
页 面：494-512页
核心收录：
基 金：Partially supported by the National Natural Science Foundation of China(Grant Nos.11571286,11871404and 11801473) the Natural Science Foundation of Fujian Province of China(Grant No.2016J01031) the Fundamental Research Funds for the Central Universities of China(Grant Nos.20720180002 and 20720180006)
主 题：Tilting sheaf weighted projective line stable category cluster category tubular algebra
摘 要：The present paper focuses on the study of the stable category of vector bundles for the weighted projective lines of weight triple. We find some important triangles in this category and use them to construct tilting objects with tubular endomorphism algebras for the case of genus one via cluster tilting theory.
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