Desingularization Strategies for Three-Dimensional Vector Fields

Felipe Cano Torres (auth.)3540179445, 9783540179443, 0387179445

For a vector field #3, where Ai are series in X, the algebraic multiplicity measures the singularity at the origin. In this research monograph several strategies are given to make the algebraic multiplicity of a three-dimensional vector field decrease, by means of permissible blowing-ups of the ambient space, i.e. transformations of the type xi=x’ix1, 2

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Table of contents :
Resolution statements for a vector field….Pages 1-34
A partial winning strategy….Pages 35-78
Standard transitions from type I….Pages 79-115
A winning strategy for type one….Pages 116-171
Types two and three….Pages 172-185