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http://hdl.handle.net/2445/194595
Title: | Stability conditions on Kuznetsov components |
Author: | Bayer, Arend Lahoz Vilalta, Martí Macrì, Emanuele Stellari, Paolo |
Keywords: | Geometria algebraica Matrius (Matemàtica) Feixos fibrats (Matemàtica) Triangulació Algebraic geometry Matrices Fiber bundles (Mathematics) Triangulation |
Issue Date: | 25-Jan-2022 |
Publisher: | Elsevier Masson SAS |
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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.48550/arXiv.1703.10839 |
It is part of: | Annales Scientifiques de l'Ecole Normale Superieure, 2022, p. 53 pages |
URI: | http://hdl.handle.net/2445/194595 |
Related resource: | https://doi.org/10.24033/asens.2539 |
ISSN: | 0012-9593 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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