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

By Jorge Pereira,Luc Pirio

This ebook takes an in-depth examine abelian kinfolk of codimension one webs within the complicated analytic atmosphere. In its classical shape, internet geometry is composed within the learn of webs as much as neighborhood diffeomorphisms. an important a part of the idea revolves round the inspiration of abelian relation, a selected type of useful relation one of the first integrals of the foliations of an internet. major focuses of the ebook comprise what percentage abelian kinfolk can an online hold and which webs are sporting the maximal attainable variety of abelian family members. The booklet deals entire proofs of either Chern’s sure and Trépreau’s algebraization theorem, together with all of the worthy necessities that transcend ordinary advanced research or easy algebraic geometry. lots 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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