This paper presents a classification of plane dicritical nilpotent singularities, i.e. singularities which have nilpotent linear part and infinitely many separatrices. In particular the existence of meromorphic first integrals is discussed. The same ideas are applied to other kind of dicritical singularities.
@article{urn:eudml:doc:41890, title = {Singularit\'es nilpotentes et int\'egrales premi\`eres.}, journal = {Publicacions Matem\`atiques}, year = {2007}, pages = {143-161}, mrnumber = {MR2307150}, zbl = {1134.32306}, language = {fr}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41890} }
Meziani, Rafik; Sad, Paulo. Singularités nilpotentes et intégrales premières.. Publicacions Matemàtiques, (2007), pp. 143-161. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41890/