Resolution of Singularities of Vector Fields in Dimension Three

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
100 pages, 28 figures

Keywords

Algebraic Geometry, Classical Analysis and ODEs, 14E15; 34C05; 58F14

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/125836

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506209
 http://arxiv.org/abs/math/0506209
 Acta Mathematica Volume 197, Number 2 (2006), 167-289

Collections

arXiv