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arXiv · 1506.02744

Derived Categories of Artin-Mumford double solids

Shinobu Hosono·Hiromichi Takagi
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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.

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Shinobu Hosono, Hiromichi Takagi. 2015-06-09. Derived Categories of Artin-Mumford double solids. https://doi.org/10.1215/21562261-2019-0036

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