A refined Derived Torelli Theorem for Enriques surfaces

2019/12/09 by Li, Chunyi, Nuer, Howard, Stellari, Paolo +1
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.04332

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\textendash Mumford quartic double solids and of the associated Enriques surfaces. This paper originated from one of the problem sections at the workshop Semiorthogonal decompositions, stability conditions and sheaves of categories, Université de Toulouse, May 2--5, 2018.

Related

• A Refined Derived Torelli Theorem for Enriques surfaces, II: the non-generic case
• Semiorthogonal Decompositions on Enriques Surfaces and Derived Torelli Theorem
• A note on the derived category of Enriques surfaces in characteristic 2
• A brief introduction to Enriques surfaces
• Equations for some very special Enriques surfaces in characteristic two