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. - 296:7(2023 Jul), pp. 2975-3002. [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
Settore MATH-02/B - Geometria
   Moduli and Lie Theory
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   2017YRA3LK_004
lug-2023
12-apr-2023
Article (author)
File in questo prodotto:
File Dimensione Formato  
Mathematische Nachrichten - 2023 - Pertusi - Stability conditions on Kuznetsov components of Gushel Mukai threefolds and (1).pdf

accesso aperto

Descrizione: online first
Tipologia: Publisher's version/PDF
Licenza: Creative commons
Dimensione 630.91 kB
Formato Adobe PDF
630.91 kB Adobe PDF Visualizza/Apri
Mathematische Nachrichten - 2023 - Pertusi - Stability conditions on Kuznetsov components of Gushel Mukai threefolds and.pdf

accesso aperto

Tipologia: Publisher's version/PDF
Licenza: Creative commons
Dimensione 630.71 kB
Formato Adobe PDF
630.71 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/968957
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 6
  • OpenAlex 1
social impact