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 kin of codimension one webs within the advanced analytic environment. In its classical shape, internet geometry is composed within the examine of webs as much as neighborhood diffeomorphisms. an important a part of the speculation revolves round the proposal of abelian relation, a specific type of practical relation one of the first integrals of the foliations of an online. major focuses of the ebook contain what number abelian relatives can an online hold and which webs are sporting the maximal attainable variety of abelian kin. The ebook deals entire proofs of either Chern’s sure and Trépreau’s algebraization theorem, together with the entire beneficial necessities that transcend ordinary complicated research or uncomplicated algebraic geometry. many of the examples identified 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 can be presented.

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