Abstract
A new proof of the reduction of singularities for planar vector fields is presented. The idea is to adapt Zariski’s local uniformisation method to the vector field setting.
Mathematics Subject Classification (2010):Primary 32S65, Secondary 37F75
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Supported by The Fields Institute for Research in the Mathematical Sciences and the Universidad de Valladolid.
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Cano, F. (2012). Blowings-Up of Vector Fields. In: Miller, C., Rolin, JP., Speissegger, P. (eds) Lecture Notes on O-Minimal Structures and Real Analytic Geometry. Fields Institute Communications, vol 62. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4042-0_1
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