Resolution of Singularities of Vector Fields in Dimension Three
Algebraic Geometry
2007-05-23 v2 Classical Analysis and ODEs
Abstract
Let X be an analytic vector field defined in a real analytic manifold of dimension three. We prove that all the singularities of X can be made elementary by a finite number of blowing-ups in the ambient space. New version: Some misprints have been corrected and the text have been slightly reorganized. The final version appears in Acta Mathematica -Volume 197, Number 2, 167-289.
Keywords
Cite
@article{arxiv.math/0506209,
title = {Resolution of Singularities of Vector Fields in Dimension Three},
author = {Daniel Panazzolo},
journal= {arXiv preprint arXiv:math/0506209},
year = {2007}
}
Comments
100 pages, 28 figures