Derived categories of coherent sheaves
Algebraic Geometry
2019-12-20 v2
Abstract
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.
Cite
@article{arxiv.math/0602129,
title = {Derived categories of coherent sheaves},
author = {Tom Bridgeland},
journal= {arXiv preprint arXiv:math/0602129},
year = {2019}
}
Comments
Survey article for ICM 2006. This version corrects a mistake on page 14