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Elliptic Gorenstein singularities, log canonical thresholds and log Enriques surfaces

Yu. Prokhorov
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Abstract

We point out an interesting relation between hypersurface elliptic singularities and log Enriques surfaces: with a few exceptions, every hypersurface elliptic singularity define some klt log Enriques surface $(S,Diff)$. In many cases, the log canonical cover of $(S,Diff)$ is a Du Val K3 surface with ``large'' nonsymplectic automorphism group.

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Yu. Prokhorov. 2001-06-06. Elliptic Gorenstein singularities, log canonical thresholds and log Enriques surfaces. https://arxiv.org/abs/math/0105129

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