Dicritical nilpotent holomorphic foliations

Percy Fernández-Sánchez, Jorge Mozo-Fernández, Hernán Neciosup

Research output: Contribution to journalArticlepeer-review

Abstract

We study in this paper several properties concerning singularities of foliations in (C3, 0) that are pull-back of dicritical foliations in (C2, 0). Particularly, we will investigate the existence of first integrals (holomorphic and meromorphic) and the dicriticalness of such a foliation. In the study of meromorphic first integrals we follow the same method used by R. Meziani and P. Sad in dimension two. While the foliations we study are pull-back of foliations in (C2, 0), the adaptations are not straightforward.

Original languageEnglish
Pages (from-to)3223-3237
Number of pages15
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume38
Issue number7
DOIs
StatePublished - Jul 2018
Externally publishedYes

Keywords

  • Holomorphic foliations, dicritical foliations.

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