Mathematics – Algebraic Geometry
Scientific paper
2000-09-06
Mathematics
Algebraic Geometry
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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