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| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Udgivet: |
2019
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| Fag: | |
| Online adgang: | https://arxiv.org/abs/1908.10986 |
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Indholdsfortegnelse:
- General hyperplane sections of a Fano threefold $Y$ of index 2 and Picard rank 1 are del Pezzo surfaces, and their Picard group is related to a root system. To the corresponding roots, we associate objects in the Kuznetsov component of $Y$ and investigate their moduli spaces, using the stability condition constructed by Bayer, Lahoz, Macrì, and Stellari, and the Abel--Jacobi map. We identify a subvariety of the moduli space isomorphic to $Y$ itself, and as an application we prove a (refined) categorical Torelli theorem for general quartic double solids.