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.
Gushel-Mukai varieties; stability conditions; semiorthogonal decompositions; triangulated categories;
Settore MAT/03 - Geometria
   Moduli and Lie Theory
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   2017YRA3LK_004
2023
12-apr-2023
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/968957
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