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A Family of Foliations with One Singularity.

Authors :
Coutinho, S. C.
Ferreira, Filipe Ramos
Source :
Bulletin of the Brazilian Mathematical Society. Dec2020, Vol. 51 Issue 4, p957-974. 18p.
Publication Year :
2020

Abstract

For every integer k ≥ 3 we describe a new family of foliations of degree k with one singularity. We show that a very generic member of this family has trivial isotropy group and a line as its unique Darboux polynomial. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16787544
Volume :
51
Issue :
4
Database :
Academic Search Index
Journal :
Bulletin of the Brazilian Mathematical Society
Publication Type :
Academic Journal
Accession number :
146658164
Full Text :
https://doi.org/10.1007/s00574-019-00183-8