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Singularités nilpotentes et intégrales premières

2007; Autonomous University of Barcelona; Volume: 51; Linguagem: Inglês

10.5565/publmat_51107_07

2014-4350

R. Meziani, Paulo Sad,

Meromorphic and Entire Functions

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.