Resolution of singularities of real-analytic vector fields in dimension three |
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| Authors: | Daniel Panazzolo |
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| Affiliation: | 1. Instituto de Matemática e Estatística, Universidade de S?o Paulo, Rua do Mat?o 1010, S?o Paulo, SP, 05508-090, Brazil
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| 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. This work has been partially supported by the CNPq/Brasil Grant 205904/2003-5 and Fapesp Grant 02/03769-9. |
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| Keywords: | resolution of singularities vector fields singularities |
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