Derived categories of Artin–Mumford double solids

摘要

We consider the derived category of an Artin-Mumford quartic double solidblown-up at ten ordinary double points. We show that it has a semi-orthogonaldecomposition containing the derived category of the Enriques surface of a Reyecongruence. This answers affirmatively a conjecture by Ingalls and Kuznetsov.