Jianmin Chen, Yanan Lin, Shiquan Ruan
Published 2018-04-19Version 1
The present paper focuses on the study of the stable category of vector bundles for the weighted projective lines of weight tripe. 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. Combining with the work on [6], we actually realize the construction of a tubular tilting object for each weighted projective line of genus one.
Tilting objects in the stable category of vector bundles on the weighted projective line of type (2,2,2,2;λ)
Tilting objects on tubular weighted projective lines: a cluster tilting approach
Triangle singularities, ADE-chains, and weighted projective lines
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