On graded stable derived categories of isolated Gorenstein quotient singularities

JOURNAL OF ALGEBRA

卷:352

Article

Ueda, Kazushi

关键词: Stable category;    Gorenstein quotient singularity;    Exceptional collection;   

DOI  :  10.1016/j.jalgebra.2011.11.034

来源: Elsevier

【 摘 要 】

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 (2009) [Orl09]. 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. (C) 2011 Elsevier Inc. All rights reserved.

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