English

On the classification of rational surface singularities

Algebraic Geometry 2013-06-20 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1204.0269,
  title  = {On the classification of rational surface singularities},
  author = {Jan Stevens},
  journal= {arXiv preprint arXiv:1204.0269},
  year   = {2013}
}

Comments

31 pages

R2 v1 2026-06-21T20:43:10.622Z