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Tilting objects on tubular weighted projective lines: A cluster tilting approach.
- Source :
- SCIENCE CHINA Mathematics; Apr2021, Vol. 64 Issue 4, p691-710, 20p
- Publication Year :
- 2021
-
Abstract
- Using cluster tilting theory, we investigate 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16747283
- Volume :
- 64
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- SCIENCE CHINA Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 149470767
- Full Text :
- https://doi.org/10.1007/s11425-018-9518-2