Dicritical nilpotent holomorphic foliations

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

Dicritical nilpotent holomorphic foliations

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

Sección de Matemáticas

Universidad de Valladolid

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	Spanish
Pages (from-to)	3223-3237
Number of pages	15
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	38
State	Published - 1 Jul 2018

Cite this

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title = "Dicritical nilpotent holomorphic foliations",

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.",

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AU - Fernández-Sánchez, Percy

AU - Mozo-Fernández, Jorge

AU - Neciosup, Hernán

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N2 - 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.

AB - 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.

M3 - Artículo

SN - 1078-0947

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EP - 3237

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

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