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