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On smooth separatrices of foliations on singular surfaces.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Mar2015, Vol. 46 Issue 1, p1-21. 21p. - Publication Year :
- 2015
-
Abstract
- We consider foliations on a germ of an isolated surface singularity. We give criteria for the existence of smooth separatrices in terms of the maximal cycle of a desingularization of the surface. We apply these criteria for some examples of quasi-homogeneous singularities, in particular rational double points; moreover, for these singularities we show for which cases there exist a smooth separatrix for foliations defined by sufficiently general derivations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 46
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 101678117
- Full Text :
- https://doi.org/10.1007/s00574-015-0082-1