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On Tubular Tilting Objects in the Stable Category of Vector Bundles 被引量:1

On Tubular Tilting Objects in the Stable Category of Vector Bundles
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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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2019年第4期494-512,共19页 数学学报(英文版)
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)
关键词 TILTING SHEAF weighted PROJECTIVE line stable CATEGORY cluster CATEGORY TUBULAR ALGEBRA Tilting sheaf weighted projective line stable category cluster category tubular algebra
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