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A refined derived Torelli theorem for Enriques surfaces
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Li, Chunyi, Nuer, Howard, Stellari, Paolo and Zhao, Xiaolei (2021) A refined derived Torelli theorem for Enriques surfaces. Mathematische Annalen, 379 . pp. 1475-1505. doi:10.1007/s00208-020-02113-2 ISSN 0025-5831.
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Official URL: https://doi.org/10.1007/s00208-020-02113-2
Abstract
We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent. We apply the same techniques to give a new simple proof of a conjecture by Ingalls and Kuznetsov relating the derived categories of the blow-up of general Artin–Mumford quartic double solids and of the associated Enriques surfaces.
| Item Type: | Journal Article | |||||||||||||||||||||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||||||||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||||||||||||||
| Library of Congress Subject Headings (LCSH): | Torelli theorem, Enriques surfaces | |||||||||||||||||||||||||||
| Journal or Publication Title: | Mathematische Annalen | |||||||||||||||||||||||||||
| Publisher: | Springer Verlag | |||||||||||||||||||||||||||
| ISSN: | 0025-5831 | |||||||||||||||||||||||||||
| Official Date: | April 2021 | |||||||||||||||||||||||||||
| Dates: |
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| Volume: | 379 | |||||||||||||||||||||||||||
| Page Range: | pp. 1475-1505 | |||||||||||||||||||||||||||
| DOI: | 10.1007/s00208-020-02113-2 | |||||||||||||||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||||||||||||||
| Publication Status: | Published | |||||||||||||||||||||||||||
| Access rights to Published version: | Open Access (Creative Commons) | |||||||||||||||||||||||||||
| Date of first compliant deposit: | 29 October 2020 | |||||||||||||||||||||||||||
| Date of first compliant Open Access: | 15 December 2020 | |||||||||||||||||||||||||||
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