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 ℚ-Gorenstein singularity.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 3 February 2001 / Revised version: 8 March 2002 / Published online: 10 February 2003
Mathematics Subject Classification (2000): 14B05, 14J17, 32S25
This research was supported by grants from the Australian Research Council and the NSF (first author) and the the NSA (second author).
Rights and permissions
About this article
Cite this article
Neumann, W., Wahl, J. Universal abelian covers of quotient-cusps. Math. Ann. 326, 75–93 (2003). https://doi.org/10.1007/s00208-002-0405-6
Issue Date:
DOI: https://doi.org/10.1007/s00208-002-0405-6