Title
On non-kupka points of codimension one foliations on ℙ3
Date Issued
01 January 2016
Access level
open access
Resource Type
journal article
Author(s)
Universidade Federal de Minas Gerais
Publisher(s)
Academia Brasileira de Ciencias
Abstract
We study the singular set of a codimension one holomorphic foliation on ℙ3. We find a local normal form for these foliations near a codimension two component of the singular set that is not of Kupka type. We also determine the number of non-Kupka points immersed in a codimension two component of the singular set of a codimension one foliation on ℙ3.
Start page
2067
End page
2080
Volume
88
Issue
4
Language
English
OCDE Knowledge area
Física de partículas, Campos de la Física
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-85006506870
Source
Anais da Academia Brasileira de Ciencias
ISSN of the container
00013765
Sponsor(s)
The first author was partially supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP N° 2014/23594-6), CONACYT 262121 and thanks the Federal University of Minas Gerais (UFMG), Instituto de Matemática Pura e Aplicada (IMPA), and Instituto de Matemática, Estatística e Computação Científica da UNICAMP for the hospitality during the elaboration of this work. The second author was partially supported by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPESDGU 247/11), Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq 300351/2012-3 and PPM-00169-13). The third author was partially supported by Bolsista/CAPES and thanks the Instituto de Matemática y Ciencias Afines (IMCA) for the hospitality. Finally, we would like to thank the referee by the suggestions, comments and improvements to the exposition.
Sources of information:
Directorio de Producción Científica
Scopus