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math.AG1999
How to calculate A-Hilb C^3
Alastair Craw, Miles Reid
Iku Nakamura [Hilbert schemes of Abelian group orbits, J. Alg. Geom. 10 (2001), 757--779] introduced the G-Hilbert scheme for a finite subgroup G in SL(3,C), and conjectured that i…
math.AG1999
Mukai implies McKay: the McKay correspondence as an equivalence of derived categories
Tom Bridgeland, Alastair King, Miles Reid
Let G be a finite group of automorphisms of a nonsingular complex threefold M such that the canonical bundle omega_M is locally trivial as a G-sheaf. We prove that the Hilbert sche…