Abstract
AbstractWe 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.
Funder
Università degli Studi di Milano
Publisher
Springer Science and Business Media LLC
Reference40 articles.
1. Addington, N., Wray, A.: Twisted Fourier–Mukai partners of Enriques surfaces. arXiv:1803.03250
2. Artin, M., Mumford, D.: Some elementary examples of unirational varieties which are not rational. Proc. Lond. Math. Soc. 3, 75–95 (1972)
3. Barth, W., Peters, C.: Automorphisms of Enriques surfaces. Invent. Math. 73, 383–411 (1983)
4. Bayer, A., Lahoz, M., Macrì, E., Stellari, P.: Stability conditions on Kuznetsov components. arXiv:1703.10839v2
5. Bernardara, M., Macrì, E., Mehrotra, S., Stellari, P.: A categorical invariant for cubic threefolds. Adv. Math. 229, 770–803 (2012)
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