English

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

Algebraic Geometry 2022-01-19 v2 Category Theory

Abstract

We prove that two Enriques surfaces defined over an algebraically closed field of characteristic different from 22 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.

Keywords

Cite

@article{arxiv.2104.13610,
  title  = {A Refined Derived Torelli Theorem for Enriques surfaces, II: the non-generic case},
  author = {Chunyi Li and Paolo Stellari and Xiaolei Zhao},
  journal= {arXiv preprint arXiv:2104.13610},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-24T01:35:25.787Z