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

Laura Pertusi and Ethan Robinett

Mathematische Nachrichten, 2023, vol. 296, issue 7, 2975-3002

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

Date: 2023
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https://doi.org/10.1002/mana.202200010

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