McKay equivalence for symplectic resolutions of singularities

2004/01/01 by Roman Bezrukavnikov, Bezrukavnikov, R., D. Kaledin +1 · 10 citations
Mathematics · #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.math/0401002

openalex publication_date 2004/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let V be a finite-dimensional symplectic vector space over a field of characteristic 0, and let G ⊂ Sp(V) be a finite subgroup. We prove that for any crepant resolution X → V/G, the bounded derived category D^b(Coh(X)) of coherent sheaves on X is equivalent to the bounded derived category D^b_G(Coh(V)) of G-equivariant coherent sheaves on V.

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