Rational blow-downs and smoothings of surface singularities
Geometric Topology
2008-03-13 v5 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0611157,
title = {Rational blow-downs and smoothings of surface singularities},
author = {Andras I. Stipsicz and Zoltan Szabo and Jonathan Wahl},
journal= {arXiv preprint arXiv:math/0611157},
year = {2008}
}
Comments
61 pages, 28 figures