Geometry Topology

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

By Jorge Pereira,Luc Pirio

This publication takes an in-depth examine abelian relatives of codimension one webs within the advanced analytic atmosphere. In its classical shape, net 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 form of sensible relation one of the first integrals of the foliations of an internet. major focuses of the booklet comprise what number abelian kinfolk can an internet hold and which webs are wearing the maximal attainable variety of abelian family members. The ebook bargains whole proofs of either Chern’s certain and Trépreau’s algebraization theorem, together with all of the useful necessities that transcend hassle-free advanced research or uncomplicated algebraic geometry. many of the examples identified brand new of non-algebraizable planar webs of maximal rank are mentioned intimately. A old account of the algebraization challenge for maximal rank webs of codimension one can be presented.

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