Flops and derived categories

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.

arXiv comment21 pp

References in corpus (2)

• Semiorthogonal decomposition for algebraic varieties
• Mukai implies McKay: the McKay correspondence as an equivalence of derived categories