Resolution of singularities of real-analytic vector fields in dimension three
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- Panazzolo, D. Acta Math (2006) 197: 167. doi:10.1007/s11511-006-0011-7
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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.