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On tubular tilting objects in the stable category of vector bundles

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arxiv 1804.06980 v2 pith:2DSJ5IOV submitted 2018-04-19 math.RT

Jianmin Chen , Yanan Lin , Shiquan Ruan This is my paper · ORCID
classification math.RT
keywords categorytiltingbundlesobjectsstabletubularvectoralgebras
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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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