Full exceptional collections on Fano threefolds and groups generated by spherical twists on K3 surfaces
| Autor: | Nordskova, Anya, Bergh, Michel Van den |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | For a Fano threefold admitting a full exceptional collection of vector bundles of length four we show that all full exceptional collections consist of shifted vector bundles. We prove this via a detailed study of the group generated by spherical twists on an anticanonical divisor. For example, we prove that this group is free and provide explicit generators. Comment: Missing references added |
| Databáze: | arXiv |
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