Rational blowdowns and smoothings of surface singularities

By A. Stipsicz, Zolt'an Szab'o, J. Wahl. 2006

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In this paper, we give a necessary combinatorial condition for a negative‐definite plumbing tree to be suitable for rational blowdown, 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 4 nodes.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e423ee52c61a37b83d34ab4ba7deddab3bb549ab