Derived categories of Artin–Mumford double solids

摘要

We consider the derived category of an Artin–Mumford quartic double solid blown up at 10 ordinary double points. We show that it has a semiorthogonal decomposition containing the derived category of the Enriques surface of a Reye congruence. This answers affirmatively a conjecture by Ingalls and Kuznetsov.