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On graded stable derived categories of isolated Gorenstein quotient singularities

Algebraic Geometry 2011-09-15 v1

Abstract

We show the existence of a full exceptional collection in the graded stable derived category of a Gorenstein isolated quotient singularity using a result of Orlov (arXiv:math/0503632). We also show that the equivariant graded stable derived category of a Gorenstein Veronese subring of a polynomial ring with respect to an action of a finite group has a full strong exceptional collection, even if the corresponding quotient singularity is neither isolated nor Gorenstein.

Keywords

Cite

@article{arxiv.1109.3053,
  title  = {On graded stable derived categories of isolated Gorenstein quotient singularities},
  author = {Kazushi Ueda},
  journal= {arXiv preprint arXiv:1109.3053},
  year   = {2011}
}

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12 pages