A refined derived Torelli theorem for Enriques surfaces

Chunyi Li, Howard Nuer, Paolo Stellari, Xiaolei Zhao

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)1475-1505
Number of pages31
JournalMathematische Annalen
Volume379
Issue number3-4
DOIs
StatePublished - Apr 2021
Externally publishedYes

Keywords

  • 18E30
  • 14J28
  • 14F05

ASJC Scopus subject areas

  • General Mathematics

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