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 kin 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 proposal of abelian relation, a specific form of sensible relation one of the first integrals of the foliations of an internet. major focuses of the ebook comprise what percentage abelian family can an online hold and which webs are wearing the maximal attainable variety of abelian relatives. The e-book bargains whole proofs of either Chern’s certain and Trépreau’s algebraization theorem, together with the entire invaluable must haves that transcend effortless complicated research or easy algebraic geometry. lots of the examples identified brand new of non-algebraizable planar webs of maximal rank are mentioned intimately. A historic account of the algebraization challenge for maximal rank webs of codimension one can be presented.

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