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Article

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Accepted version

Publication date

2023-01-25

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/194595

Stability conditions on Kuznetsov components

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https://doi.org/10.24033/asens.2539

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.

Subject

Geometria algebraica, Matrius (Matemàtica), Feixos fibrats (Matemàtica), Triangulació

Subject (English)

Algebraic geometry, Matrices, Fiber bundles (Mathematics), Triangulation

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

BAYER, Arend, et al. Stability conditions on Kuznetsov components. Annales Scientifiques de l'Ecole Normale Superieure. 2023. Vol. 53 pages. ISSN 0012-9593. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/194595

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