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Derived Categories of Artin-Mumford double solids (1506.02744v2)
Published 9 Jun 2015 in math.AG
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.