We show that the stability conditions on the Kuznetsov component of a Gushel- Mukai threefold, constructed by Bayer, Lahoz, Macri and Stellari, are preserved by the Serre functor, up to the action of the universal cover of GL(2)(+) (III). As application, we construct stability conditions on the Kuznetsov component of special Gushel-Mukai fourfolds.
Stability conditions on Kuznetsov components of Gushel–Mukai threefolds and Serre functor / L. Pertusi, E. Robinett. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - (2023), pp. 1-28. [Epub ahead of print] [10.1002/mana.202200010]
Stability conditions on Kuznetsov components of Gushel–Mukai threefolds and Serre functor
L. Pertusi
Primo
;
2023
Abstract
We show that the stability conditions on the Kuznetsov component of a Gushel- Mukai threefold, constructed by Bayer, Lahoz, Macri and Stellari, are preserved by the Serre functor, up to the action of the universal cover of GL(2)(+) (III). As application, we construct stability conditions on the Kuznetsov component of special Gushel-Mukai fourfolds.
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