Desingularization Strategies of Three-Dimensional Vector Fields

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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 i s, xi=x'i, i>s. A logarithmic point of view is taken, marking the exceptional divisor of each blowing-up and by considering only the vector fields which are tangent to ...

Desingularization Strategies of Three-Dimensional Vector Fields 1987, Springer

ISBN-13: 9783540179443

1987 edition

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Desingularization Strategies of Three-Dimensional Vector Fields 1987, Springer

ISBN-13: 9780387179445

Hardcover

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