Birational geometry and derived categories
Algebraic Geometry
2017-10-23 v1
Abstract
This paper is based on a talk at a conference "JDG 2017: Conference on Geometry and Topology". We survey recent progress on the DK hypothesis connecting the birational geometry and the derived categories stating that the K-equivalence of smooth projective varieties should correspond to the equivalence of their derived categories, and the K-inequality to the fully faithful embedding.
Cite
@article{arxiv.1710.07370,
title = {Birational geometry and derived categories},
author = {Yujiro Kawamata},
journal= {arXiv preprint arXiv:1710.07370},
year = {2017}
}
Comments
24 pages