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Journal of Differential Geometry 61 (2002), 227-261.

Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities

Jiun-Cheng Chen

Abstract:

The main purpose of this paper is to show that Bridgeland's moduli space of perverse point sheaves for certain flopping contractions gives the flops, and the Fourier-Mukai transform given by the birational correspondence of the flop is an equivalence between bounded derived categories.