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arXiv:math/0602129 [math.AG]AbstractReferencesReviewsResources

Derived categories of coherent sheaves

Tom Bridgeland

Published 2006-02-07, updated 2019-12-19Version 2

We discuss derived categories of coherent sheaves on algebraic varieties. We focus on the case of non-singular Calabi-Yau varieties and consider two unsolved problems: proving that birational varieties have equivalent derived categories, and computing the group of derived autoequivalences. We also introduce the space of stability conditions on a triangulated category and explain its relevance to these two problems.

Comments: Survey article for ICM 2006. This version corrects a mistake on page 14
Categories: math.AG
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