On the classification of rational surface singularities

Details On the classification of rational surface singularities On the classification of rational surface singularities

2012-04-01

arxiv.org/abs/1204.0269v1

Mathematics

Algebraic Geometry

31 pages

Scientific paper

A general strategy is given for the classification of graphs of rational surface singularities. For each maximal rational double point configuration we investigate the possible multiplicities in the fundamental cycle. We classify completely certain types of graphs. This allows to extend the classification of rational singularities to multiplicity 8. We also discuss the complexity of rational resolution graphs.

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