Flops and derived categories

Mathematics – Algebraic Geometry

Scientific paper

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21 pp

Scientific paper

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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