Bounded t-structures on the bounded derived category of coherent sheaves over a weighted projective line
Abstract
We use recollement and HRS-tilt to describe bounded t-structures on the bounded derived category $\mathcal{D}^b(\mathbb{X})$ of coherent sheaves over a weighted projective line $\mathbb{X}$ of virtual genus $\leq 1$. We will see from our description that the combinatorics in classification of bounded t-structures on $\mathcal{D}^b(\mathbb{X})$ can be reduced to that in classification of bounded t-structures on bounded derived categories of finite dimensional right modules over representation-finite finite dimensional hereditary algebras.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2017
- DOI:
- 10.48550/arXiv.1708.05274
- arXiv:
- arXiv:1708.05274
- Bibcode:
- 2017arXiv170805274S
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Category Theory
- E-Print:
- Revised version