Acta Mathematica

, Volume 197, Issue 2, pp 167–289

Resolution of singularities of real-analytic vector fields in dimension three



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.


resolution of singularities vector fields singularities 

2000 Math. Subject Classification

Primary 14E15 Secondary 34C05 58F14 


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Copyright information

© Institut Mittag-Leffler 2007

Authors and Affiliations

  1. 1.Instituto de Matemática e EstatísticaUniversidade de São PauloSão PauloBrazil

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