Download An Invitation to Web Geometry (IMPA Monographs) by Jorge Pereira,Luc Pirio PDF

By Jorge Pereira,Luc Pirio

This booklet takes an in-depth examine abelian kinfolk of codimension one webs within the advanced analytic environment. In its classical shape, internet geometry is composed within the research of webs as much as neighborhood diffeomorphisms. an important a part of the speculation revolves round the idea of abelian relation, a selected type of useful relation one of the first integrals of the foliations of an online. major focuses of the publication contain what percentage abelian family can an online hold and which webs are sporting the maximal attainable variety of abelian relatives. The ebook bargains whole proofs of either Chern’s certain and Trépreau’s algebraization theorem, together with the entire valuable must haves that transcend ordinary advanced research or uncomplicated algebraic geometry. many of the examples recognized brand new of non-algebraizable planar webs of maximal rank are mentioned intimately. A ancient account of the algebraization challenge for maximal rank webs of codimension one is additionally presented.

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