Singularités nilpotentes et intégrales premières

Autores: R. Meziani, P. Sad
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 51, Nº 1, 2007, págs. 143-161
Idioma: francés
DOI: 10.5565/publmat_51107_07
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Resumen
- 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.