McKay equivalence for symplectic resolutions of singularities
By R. Bezrukavnikov, D. Kaledin. 2004
72 citations recorded by the source corpus.
Let $V$ be a finite-dimensional symplectic vector space over a field of characteristic 0, and let $G \subset Sp(V)$ be a finite subgroup. We prove that for any crepant resolution $X \to V/G$, 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 $V$.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f69e3c91f3557672511e4b55734bb2203a920b32
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In Geometry and Topology
- Osamu Iyama
- Yu Yoshino
- B. Keller
- Michel van den Bergh
- L. Hille
- I. Reiten
- Peter Jørgensen
- Gustavo Jasso
In Mathematical Physics
- Osamu Iyama
- Yu Yoshino
- L. Hille
- Michel van den Bergh
- B. Keller
- I. Reiten
- Gustavo Jasso
- Yukinobu Toda
Citations in the corpus
- Mutation in triangulated categories and rigid Cohen–Macaulay modules (2006, background): “[36, 18, 16 ] etc.) study in recent years the resolution of singularity for the ring of invariants given by a finite group in SL( d;k ) ( d > 2). But, in the view point of module theory or representation theory, it should be more natural to ask the classification of Cohen-Macaulay modules over the ”
- Handbook of Tilting Theory: Fourier-Mukai transforms (2004, background): “roduces a specific crepant resolution of W. For n = 3 this was done earlier by a case by case analysis (see [64] and the references therein). Very recently the following result was proved. Theorem7.4. [8] Assume that G acts symplectically on Cn (for some arbitrary linear symplectic form). Then Conjec”