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arXiv · 1109.3053

On graded stable derived categories of isolated Gorenstein quotient singularities

Kazushi Ueda
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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.

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Kazushi Ueda. 2011-09-14. On graded stable derived categories of isolated Gorenstein quotient singularities. https://arxiv.org/abs/1109.3053

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