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Flops and derived categories

Tom Bridgeland
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Abstract

This paper contains some applications of Fourier-Mukai techniques to the birational geometry of threefolds. In particular, we prove that birational Calabi-Yau threefolds have equivalent derived categories. To do this we show how flops arise naturally as moduli spaces of perverse coherent sheaves.

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Tom Bridgeland. 2000-09-06. Flops and derived categories. https://arxiv.org/abs/math/0009053

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