Global structure of webs in codimension one
نویسندگان
چکیده
In this paper, we describe the global structure of webs in codimension one, and study in particular their singularities (the caustic). We define and study different concepts which have no interest locally near regular points, such as the type, the reducibility, the quasi-smoothness, the CIproperty (complete intersection), the dicriticity.... As an example of application, we explain how the algebraicity of a global holomorphic web in codimension one on the complex n-dimensional projective space Pn (algebraicity that we prove by the way to be equivalent to the linearity) depends only on the behaviour of this web near its caustic, at least for quasi-smooth webs with CI irreducible components.
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