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Flops of G-Hilb and equivalences of derived categories by variation of GIT quotient

Flops of G-Hilb and equivalences of derived categories by variation of GIT quotient

For a finite subgroup G⊂SL(3,ℂ), Bridgeland, King, and Reid [BKR] proved that the moduli space of G-clusters is a crepant resolution of the quotient ℂ3/G . This paper considers the moduli spaces $\mathcal{M}$θ, introduced by Kronheimer and further studied by Sardo Infirri, which coincide with G-Hilb for a particular choice …