Stability conditions on Kuznetsov components
Algebraic Geometry
2023-06-14 v5
Abstract
We introduce a general method to induce Bridgeland stability conditions on semiorthogonal components of triangulated categories. In particular, we prove the existence of Bridgeland stability conditions on the Kuznetsov component of the derived category of Fano threefolds and of cubic fourfolds. As an application, in the appendix, written jointly with Xiaolei Zhao, we give a variant of the proof of the Torelli theorem for cubic fourfolds by Huybrechts and Rennemo.
Cite
@article{arxiv.1703.10839,
title = {Stability conditions on Kuznetsov components},
author = {Arend Bayer and Martí Lahoz and Emanuele Macrì and Paolo Stellari},
journal= {arXiv preprint arXiv:1703.10839},
year = {2023}
}
Comments
53 pages. Appendix about the Torelli theorem for cubic fourfolds by A. Bayer, M. Lahoz, E. Macr\`i, P. Stellari, and X. Zhao. Final version to appear in Ann. Sci. \'Ec. Norm. Sup\'er