Derived McKay correspondence for GL(3,C)

Abstract

We prove that the equivariant derived category for a finite subgroup of GL(3,C) has a semi-orthogonal decomposition into the derived category of a certain partial resolution, called a maximal Q-factorial terminalization, of the corresponding quotient singularity and a relative exceptional collection. This is a generalization of a result of Bridgeland, King and Reid.

16 pages

References in corpus (2)

• Hochschild homology and semiorthogonal decompositions
• Log Crepant Birational Maps and Derived Categories

Cited by in corpus (1)

• Birational geometry and derived categories