Advertisement

Mathematische Annalen

, Volume 326, Issue 1, pp 75–93 | Cite as

Universal abelian covers of quotient-cusps

  • Walter D. Neumann
  • Jonathan Wahl

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.

Keywords

Singular Point Complex Surface Complete Intersection Surface Singularity General Conjecture 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Walter D. Neumann
    • 1
  • Jonathan Wahl
    • 2
  1. 1.Department of Mathematics, Barnard College, Columbia University, New York, NY 10027 (e-mail: neumann@math.columbia.edu)US
  2. 2.Department of Mathematics, The University of North Carolina, Chapel Hill, NC 27599-3250 (e-mail: jw@math.unc.edu)

Personalised recommendations