Abstract
Let χ be an analytic vector field defined in a real-analytic manifold of dimension three. We prove that all the singularities of χ can be made elementary by a finite number of blowing-ups in the ambient space.
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This work has been partially supported by the CNPq/Brasil Grant 205904/2003-5 and Fapesp Grant 02/03769-9.
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Panazzolo, D. Resolution of singularities of real-analytic vector fields in dimension three. Acta Math 197, 167–289 (2006). https://doi.org/10.1007/s11511-006-0011-7
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DOI: https://doi.org/10.1007/s11511-006-0011-7