Elliptic Gorenstein singularities, log canonical thresholds and log Enriques surfaces

Details Elliptic Gorenstein singularities, log canonical thresholds and log Enriques surfaces Elliptic Gorenstein singularities, log canonical thresholds and log Enriques surfaces

2001-05-16

arxiv.org/abs/math/0105129v2

J. Math. Sci. (N. Y.), 115(3): 2378-2394, 2003

Mathematics

Algebraic Geometry

19 pages, LaTeX2e, uses package longtable.sty, several references are added

Scientific paper

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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