Derived Categories of Artin-Mumford double solids

TL;DR

This paper studies the derived category of a specific algebraic variety, showing it contains the derived category of an associated Enriques surface, thus confirming a conjecture in algebraic geometry.

Contribution

It proves that the derived category of an Artin-Mumford quartic double solid includes the derived category of an Enriques surface, confirming a conjecture by Ingalls and Kuznetsov.

Findings

Derived category contains the Enriques surface's derived category.

Confirms a conjecture by Ingalls and Kuznetsov.

Provides a semi-orthogonal decomposition for the variety.

Abstract

We consider the derived category of an Artin-Mumford quartic double solid blown-up at ten ordinary double points. We show that it has a semi-orthogonal decomposition containing the derived category of the Enriques surface of a Reye congruence. This answers affirmatively a conjecture by Ingalls and Kuznetsov.