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Reduction of singularities of three-dimensional line foliations
- Source :
- Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas; March 2014, Vol. 108 Issue: 1 p221-258, 38p
- Publication Year :
- 2014
-
Abstract
- We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of Zariski. The reduction of singularities is then obtained by a gluing procedure for Local Uniformizations similar to the one used by Zariski.
Details
- Language :
- English
- ISSN :
- 15787303 and 15791505
- Volume :
- 108
- Issue :
- 1
- Database :
- Supplemental Index
- Journal :
- Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Publication Type :
- Periodical
- Accession number :
- ejs32511777
- Full Text :
- https://doi.org/10.1007/s13398-013-0117-7