On graded stable derived categories of isolated Gorenstein quotient singularities

2011/09/14 by Ueda, Kazushi
#16G20 #18E30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1109.3053

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.

Related

• The singularity category of an exact category applied to characterize Gorenstein schemes
• Non-Gorenstein isolated singularities of graded countable Cohen-Macaulay type
• The derived category of a graded Gorenstein ring
• Relative Singularity Categories
• Differential graded enhancements of singularity categories