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2006 Resolution of singularities of real-analytic vector fields in dimension three
Daniel Panazzolo
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Acta Math. 197(2): 167-289 (2006). DOI: 10.1007/s11511-006-0011-7

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.

Funding Statement

This work has been partially supported by the CNPq/Brasil Grant 205904/2003-5 and Fapesp Grant 02/03769-9.

Citation

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Daniel Panazzolo. "Resolution of singularities of real-analytic vector fields in dimension three." Acta Math. 197 (2) 167 - 289, 2006. https://doi.org/10.1007/s11511-006-0011-7

Information

Received: 17 August 2005; Revised: 29 June 2006; Published: 2006
First available in Project Euclid: 31 January 2017

zbMATH: 1112.37016
MathSciNet: MR2296055
Digital Object Identifier: 10.1007/s11511-006-0011-7

Subjects:
Primary: 14E15
Secondary: 34C05 , 58F14

Keywords: resolution of singularities , singularities , vector fields

Rights: 2007 © Institut Mittag-Leffler

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