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Universal abelian covers of quotient-cusps (2001)

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.. Comment: 16 pages

Publication details
Download http://arxiv.org/abs/math/0101251
Repository arXiv (United States)
Keywords Mathematics - Algebraic Geometry, 14B05, 14J17, 32S25
Type text