Download e-book for iPad: An Invitation to Web Geometry (IMPA Monographs) by Jorge Pereira,Luc Pirio

By Jorge Pereira,Luc Pirio

This ebook takes an in-depth examine abelian kinfolk of codimension one webs within the advanced analytic atmosphere. In its classical shape, net geometry is composed within the examine of webs as much as neighborhood diffeomorphisms. an important a part of the idea revolves round the thought of abelian relation, a specific form of useful relation one of the first integrals of the foliations of an internet. major focuses of the publication contain what number abelian relatives can an internet hold and which webs are wearing the maximal attainable variety of abelian kin. The ebook bargains whole proofs of either Chern’s certain and Trépreau’s algebraization theorem, together with all of the precious necessities that transcend trouble-free 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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