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Blowings-Up of Vector Fields

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Lecture Notes on O-Minimal Structures and Real Analytic Geometry

Part of the book series: Fields Institute Communications ((FIC,volume 62))

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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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Acknowledgements

Supported by The Fields Institute for Research in the Mathematical Sciences and the Universidad de Valladolid.

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Authors and Affiliations

  1. Dpto. Álgebra, Geometría y Topología, Universidad de Valladolid, 47011, Valladolid, Spain

    Felipe Cano

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  1. Felipe Cano
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Correspondence to Felipe Cano .

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Editors and Affiliations

  1. , Department of Mathematics, The Ohio State University, West 18th Avenue 231, Columbus, 43210, Ohio, USA

    Chris Miller

  2. , Institut de mathématiques de Bourgogne, Université de Bourgogne, avenue Alain Savary 9, Dijon, 21078, France

    Jean-Philippe Rolin

  3. , Department of Mathematics and Statistics, McMaster University, Main Street West 1280, Hamilton, L8S 4K1, Ontario, Canada

    Patrick Speissegger

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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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