Universal abelian covers of quotient-cusps
- Cite this article as:
- Neumann, W. & Wahl, J. Math. Ann. (2003) 326: 75. doi:10.1007/s00208-002-0405-6
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.