A note on the derived category of Enriques surfaces in characteristic 2

TL;DR

This paper demonstrates that the twisted derived category can distinguish among the three types of Enriques surfaces in characteristic 2, providing a categorical characterization of their differences.

Contribution

It shows that the derived category uniquely identifies the three types of Enriques surfaces in characteristic 2, advancing the understanding of their categorical properties.

Findings

Derived category recognizes different Enriques surface types in characteristic 2

Categorical methods distinguish surface types in algebraic geometry

Advances classification of surfaces via derived categories

Abstract

We show that the (twisted) derived category "recognizes" the three different kinds of Enriques surfaces in characteristic 2