On graded stable derived categories of isolated Gorenstein quotient singularities

Details On graded stable derived categories of isolated Gorenstein quotient singularities On graded stable derived categories of isolated Gorenstein quotient singularities

2011-09-14

arxiv.org/abs/1109.3053v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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.

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