Global stucture of webs in codimension one

Details Global stucture of webs in codimension one Global stucture of webs in codimension one

2008-03-17

arxiv.org/abs/0803.2434v1

Mathematics

Dynamical Systems

19 pages

Scientific paper

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. .

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