Title
Foliations by curves with curves as singularities
Date Issued
01 January 2014
Access level
open access
Resource Type
journal article
Author(s)
Universidad Federal de Minas Gerais
Publisher(s)
Association des Annales de l'Institut Fourier
Abstract
Let F be a holomorphic one-dimensional foliation on ℙn such that the components of its singular locus Σ are curves Ci and points pj . We determine the number of pj , counted with multiplicities, in terms of invariants of and C F i, assuming that F is special along the Ci. Allowing just one nonzero dimensional component on Σ, we also prove results on when the foliation happens to be determined by its singular locus.
Start page
1781
End page
1805
Volume
64
Issue
4
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
DOI
Scopus EID
2-s2.0-84919625458
Source
Annales de l'Institut Fourier
ISSN of the container
03730956
Sources of information:
Directorio de Producción Científica
Scopus