Elliptic Gorenstein singularities, log canonical thresholds and log Enriques surfaces

Yu. Prokhorov

Elliptic Gorenstein singularities, log canonical thresholds and log Enriques surfaces

Algebraic Geometry 2010-05-11 v2

Authors: Yu. Prokhorov

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.

Keywords

algebraic surfaces del pezzo surfaces singularity theory

Cite

@article{arxiv.math/0105129,
  title  = {Elliptic Gorenstein singularities, log canonical thresholds and log Enriques surfaces},
  author = {Yu. Prokhorov},
  journal= {arXiv preprint arXiv:math/0105129},
  year   = {2010}
}

Comments

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

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