We introduce a general method to induce Bridgeland stability conditions on semiorthogonal components of triangulated categories. In particular, we prove the existence of Bridgeland stability conditions on the Kuznetsov component of the derived category of Fano threefolds and of cubic fourfolds. As an application, in the appendix, written jointly with Xiaolei Zhao, we give a variant of the proof of the Torelli theorem for cubic fourfolds by Huybrechts and Rennemo.
Stability conditions on Kuznetsov components / A. Bayer, M. Lahoz, E. Macrì, P. Stellari. - In: ANNALES SCIENTIFIQUES DE L'ECOLE NORMALE SUPERIEURE. - ISSN 0012-9593. - 56:2(2023), pp. 517-570. [10.24033/asens.2539]
Stability conditions on Kuznetsov components
P. StellariUltimo
2023
Abstract
We introduce a general method to induce Bridgeland stability conditions on semiorthogonal components of triangulated categories. In particular, we prove the existence of Bridgeland stability conditions on the Kuznetsov component of the derived category of Fano threefolds and of cubic fourfolds. As an application, in the appendix, written jointly with Xiaolei Zhao, we give a variant of the proof of the Torelli theorem for cubic fourfolds by Huybrechts and Rennemo.
| File | Dimensione | Formato | |
|---|---|---|---|
|
StabCondSemi.pdf
accesso aperto
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
619.65 kB
Formato
Adobe PDF
|
619.65 kB | Adobe PDF | Visualizza/Apri |
|
ens_ann-sc_56_517-570.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
1.19 MB
Formato
Adobe PDF
|
1.19 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
