Tilting and cluster tilting for quotient singularities
arXiv:1012.5954
Abstract
We shall show that the stable categories of graded Cohen-Macaulay modules over quotient singularities have tilting objects. In particular, these categories are triangle equivalent to derived categories of finite dimensional algebras. Our method is based on higher dimensional Auslander-Reiten theory, which gives cluster tilting objects in the stable categories of (ungraded) Cohen-Macaulay modules.
31 pages
References in corpus (6)
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Cited by in corpus (6)
- Ice quivers with potentials associated with triangulations and Cohen-Macaulay modules over orders
- Lectures on Noncommutative Resolutions
- Hyperplane sections and stable derived categories
- Degenerations of graded Cohen-Macaulay modules
- Realizing stable categories as derived categories
- On graded stable derived categories of isolated Gorenstein quotient singularities