Resolution of Singularities of Vector Fields in Dimension Three

Details Resolution of Singularities of Vector Fields in Dimension Three Resolution of Singularities of Vector Fields in Dimension Three

2005-06-10

arxiv.org/abs/math/0506209v2

Acta Mathematica Volume 197, Number 2 (2006), 167-289

Mathematics

Algebraic Geometry

100 pages, 28 figures

Scientific paper

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.

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