The Valuative Theory of Foliations

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We describe the valuations following infinitely near singular points of a (singular) holomorphic foliation in the complex plane. They appear to be those satisfying a generalization of L'Hopital's rule. With them, we characterize dicritical vector fields, generic simple singularities, the existence of non- convergent solutions, etc. The construction is generalizable to dimension n.
16 pages, uses package: diagram.tex

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Algebraic Geometry, Commutative Algebra, 13A18; 32S65

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http://salesiana.dossiersoluciones.com/handle/123456789/61110

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103123
 http://arxiv.org/abs/math/0103123

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arXiv