We prove that two Enriques surfaces defined over an algebraically closed field of characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent. This improves and completes our previous result joint with Nuer where the same statement is proved for generic Enriques surfaces.

A refined derived Torelli theorem for enriques surfaces, II: the non-generic case / C. Li, P. Stellari, X. Zhao. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 300:4(2022 Apr), pp. 3527-3550. [10.1007/s00209-021-02930-4]

A refined derived Torelli theorem for enriques surfaces, II: the non-generic case

P. Stellari
Secondo
;
2022

Abstract

We prove that two Enriques surfaces defined over an algebraically closed field of characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent. This improves and completes our previous result joint with Nuer where the same statement is proved for generic Enriques surfaces.
Enriques surfaces; Derived categories; Torelli theorem;
Settore MAT/03 - Geometria
   Moduli and Lie Theory
   HighCaSt
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   2017YRA3LK_004

   Higher categorical and stability structures in algebraic geometry (HighCaSt)
   StabCondEn
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   R18YA3ESPJ

   Stability Conditions, Moduli Spaces and Enhencements (StabCondEn)
   StabCondEn
   EUROPEAN COMMISSION
   H2020
   771507
apr-2022
21-gen-2022
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/916921
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