Derived McKay correspondence for GL(3,C)

2016/09/29 by Yūjirō Kawamata, Kawamata, Yujiro
Mathematics · #14E16 #14E30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1609.09540

openalex publication_date 2016/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• McKay equivalence for symplectic resolutions of singularities
• Hochschild homology and semiorthogonal decompositions
• Log Crepant Birational Maps and Derived Categories

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