Global stucture of webs in codimension one

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We describe the global structure of holomorphic webs in codimension one, and in particular their singularity (caustic). Various concepts are introduced, which have no interest locally near a regular point, such as the type, the reducibility, the quasi-smoothness, the CI property (complete intersection), the dicriticity... We prove for instance that the algebraicity of a web globally defined on a complex projective space may be readen on its caustic (dicriticity), at least if each irreducible component is CI, and the web quasi-smooth. .
19 pages

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Dynamical Systems, Algebraic Geometry, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/212171

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2434
 http://arxiv.org/abs/0803.2434

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arXiv