Derived categories view on rationality problems
Algebraic Geometry
2018-09-05 v1
Abstract
We discuss a relation between the structure of derived categories of smooth projective varieties and their birational properties. We suggest a possible definition of a birational invariant, the derived category analogue of the intermediate Jacobian, and discuss its possible applications to the geometry of prime Fano threefolds and cubic fourfolds.
Cite
@article{arxiv.1509.09115,
title = {Derived categories view on rationality problems},
author = {Alexander Kuznetsov},
journal= {arXiv preprint arXiv:1509.09115},
year = {2018}
}
Comments
Lecture notes for the CIME-CIRM summer school, Levico Terme, June 22--27, 2015; 26 pages