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arXiv · 1912.04332

A refined Derived Torelli Theorem for Enriques surfaces

Chunyi Li·Howard Nuer·Paolo Stellari·Xiaolei Zhao
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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 \emph{Semiorthogonal decompositions, stability conditions and sheaves of categories}, Universit\'e de Toulouse, May 2--5, 2018.

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Chunyi Li, Howard Nuer, Paolo Stellari, Xiaolei Zhao. 2019-12-09. A refined Derived Torelli Theorem for Enriques surfaces. https://arxiv.org/abs/1912.04332

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