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arxiv: math/0009053 · v1 · submitted 2000-09-06 · 🧮 math.AG

Flops and derived categories

classification 🧮 math.AG
keywords birationalcategoriesderivedflopsthreefoldsapplicationsarisecalabi-yau
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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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