Geodesic
On the classification of rational surface singularities
Journal of Singularities, Tome 7 (2013), pp. 108-133

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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. 
@article{10_5427_jsing_2013_7g,
     author = {Jan Stevens},
     title = {On the classification of rational surface singularities},
     journal = {Journal of Singularities},
     pages = {108--133},
     publisher = {mathdoc},
     volume = {7},
     year = {2013},
     doi = {10.5427/jsing.2013.7g},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2013.7g/}
}
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Jan Stevens. On the classification of rational surface singularities. Journal of Singularities, Tome 7 (2013), pp. 108-133. doi: 10.5427/jsing.2013.7g

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