A categorical invariant for cubic threefolds
Algebraic Geometry
2011-10-19 v2
Abstract
We prove a categorical version of the Torelli theorem for cubic threefolds. More precisely, we show that the non-trivial part of a semi-orthogonal decomposition of the derived category of a cubic threefold characterizes its isomorphism class.
Cite
@article{arxiv.0903.4414,
title = {A categorical invariant for cubic threefolds},
author = {Marcello Bernardara and Emanuele Macri and Sukhendu Mehrotra and Paolo Stellari},
journal= {arXiv preprint arXiv:0903.4414},
year = {2011}
}
Comments
30 pages. Minor changes. Final version to appear in Adv. Math