Semiorthogonal decompositions in algebraic geometry
arXiv:1404.3143
Abstract
In this review we discuss what is known about semiorthogonal decompositions of derived categories of algebraic varieties. We review existing constructions, especially the homological projective duality approach, and discuss some related issues such as categorical resolutions of singularities.
Contribution to the ICM 2014; v2: acknowledgements updated; v3: a reference added