A Refined Derived Torelli Theorem for Enriques surfaces, II: the non-generic case

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.

arXiv comment25 pages. Final version to appear in Math. Z. (special volume in honor of O. Debarre)