Derived Categories of Artin-Mumford double solids

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.

We have moved some techinical staffs into our papers [24] and [25] in the reference

References in corpus (2)

• On nodal Enriques surfaces and quartic double solids
• Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category