Semi-complete vector fields of saddle-node type in 
Author:
Helena Reis
Journal:
Trans. Amer. Math. Soc. 360 (2008), 6611-6630
MSC (2000):
Primary 32S65
DOI:
https://doi.org/10.1090/S0002-9947-08-04516-9
Published electronically:
July 24, 2008
MathSciNet review:
2434302
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We classify the foliations associated to codimension 
saddle-node vector fields on 
, with an isolated singularity, admitting a semi-complete representative. This will be done under some further assumptions that are generic in dimension 
. These singularities play an essential role in the program to classify semi-complete vector fields in dimension 
.
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Additional Information
Helena Reis
Affiliation:
Centro de Matemática da Universidade do Porto, Faculdade de Economia da Universidade do Porto, Porto, Portugal
Email:
hreis@fep.up.pt
DOI:
https://doi.org/10.1090/S0002-9947-08-04516-9
Received by editor(s):
March 16, 2005
Received by editor(s) in revised form:
March 5, 2007
Published electronically:
July 24, 2008
Additional Notes:
The author received financial support from Fundação para a Ciência e Tecnologia (FCT) through Centro de Matemática da Universidade do Porto, and from PRODEPIII
Article copyright:
© Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.