Reduction of Singularities of Three-Dimensional Line Foliations
Algebraic Geometry
2010-09-08 v1
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 Uniformization similar to Zariski's one, using an axiomatization of Zariski's work by Olivier Piltant.
Cite
@article{arxiv.1009.1348,
title = {Reduction of Singularities of Three-Dimensional Line Foliations},
author = {Felipe Cano and Claude Roche and Mark Spivakovsky},
journal= {arXiv preprint arXiv:1009.1348},
year = {2010}
}