Flops and derived categories

Preprint

6 September 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0009053

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.

Keywords

BIRATIONAL GEOMETRY
DERIVED CATEGORIES
COHERENT SHEAVES
MUKAI TECHNIQUES
PAPER CONTAINS
MODULI SPACES
THREEFOLDS
GEOMETRY
FLOPS

All Related Versions

Version 1, 2000-09-06, ArXiv

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