# On nodal Enriques surfaces and quartic double solids

@article{Ingalls2010OnNE,
title={On nodal Enriques surfaces and quartic double solids},
author={Colin Ingalls and Alexander Kuznetsov},
journal={Mathematische Annalen},
year={2010},
volume={361},
pages={107-133}
}
• Published 16 December 2010
• Mathematics
• Mathematische Annalen
We consider the class of singular double coverings $$X \rightarrow {\mathbb {P}}^3$$X→P3 ramified in the degeneration locus $$D$$D of a family of 2-dimensional quadrics. These are precisely the quartic double solids constructed by Artin and Mumford as examples of unirational but nonrational conic bundles. With such a quartic surface $$D,$$D, one can associate an Enriques surface $$S$$S which is the factor of the blowup of $$D$$D by a natural involution acting without fixed points (such Enriques…

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