Universal abelian covers of quotient-cusps
Algebraic Geometry
2007-05-23 v1
Abstract
The quotient-cusp singularities are isolated complex surface singularities that are double-covered by cusp singularities. We show that the universal abelian cover of such a singularity, branched only at the singular point, is a complete intersection cusp singularity of embedding dimension 4. This supports a general conjecture that we make about the universal abelian cover of a -Gorenstein singularity.
Cite
@article{arxiv.math/0101251,
title = {Universal abelian covers of quotient-cusps},
author = {Walter D. Neumann and Jonathan Wahl},
journal= {arXiv preprint arXiv:math/0101251},
year = {2007}
}
Comments
16 pages