Rational blow-downs and smoothings of surface singularities

Details Rational blow-downs and smoothings of surface singularities Rational blow-downs and smoothings of surface singularities

2006-11-06

arxiv.org/abs/math/0611157v5

Mathematics

Geometric Topology

61 pages, 28 figures

Scientific paper

In this paper we give a necessary combinatorial condition for a negative--definite plumbing tree to be suitable for rational blow--down, or to be the graph of a complex surface singularity which admits a rational homology disk smoothing. New examples of surface singularities with rational homology disk smoothings are also presented; these include singularities with resolution graph having valency four nodes.

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