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oai:recercat.cat:2445/1945952026-04-12T03:29:42Zcom_2072_1057col_2072_478917col_2072_478920

Stability conditions on Kuznetsov components Bayer, Arend Lahoz Vilalta, Martí Macrì, Emanuele Stellari, Paolo Geometria algebraica Matrius (Matemàtica) Feixos fibrats (Matemàtica) Triangulació Algebraic geometry Matrices Fiber bundles (Mathematics) Triangulation 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. 2023-03-03T16:19:06Z 2023-03-03T16:19:06Z 2023-01-25 2023-03-03T16:19:06Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 0012-9593 https://hdl.handle.net/2445/194595 731832 eng Versió postprint del document publicat a: https://doi.org/10.48550/arXiv.1703.10839 Annales Scientifiques de l'Ecole Normale Superieure, 2023, p. 53 pages https://doi.org/10.24033/asens.2539 (c) Elsevier Masson SAS, 2023 info:eu-repo/semantics/openAccess application/pdf Elsevier Masson SAS Articles publicats en revistes (Matemàtiques i Informàtica)