English

Stability conditions on Kuznetsov components of Gushel-Mukai threefolds and Serre functor

Algebraic Geometry 2022-09-02 v2

Abstract

We show that the stability conditions on the Kuznetsov component of a Gushel-Mukai threefold, constructed by Bayer, Lahoz, Macr\`i and Stellari, are preserved by the Serre functor, up to the action of the universal cover of GL2+(R)\text{GL}^+_2(\mathbb{R}). As application, we construct stability conditions on the Kuznetsov component of special Gushel-Mukai fourfolds.

Keywords

Cite

@article{arxiv.2112.04769,
  title  = {Stability conditions on Kuznetsov components of Gushel-Mukai threefolds and Serre functor},
  author = {Laura Pertusi and Ethan Robinett},
  journal= {arXiv preprint arXiv:2112.04769},
  year   = {2022}
}

Comments

30 pages, 6 figures, final version to appear in Mathematische Nachrichten