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

By Jorge Pereira,Luc Pirio

This e-book takes an in-depth examine abelian family of codimension one webs within the complicated analytic atmosphere. In its classical shape, internet 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 selected type of practical relation one of the first integrals of the foliations of an online. major focuses of the e-book contain what percentage abelian kin can an online hold and which webs are wearing the maximal attainable variety of abelian kinfolk. The ebook bargains whole proofs of either Chern’s sure and Trépreau’s algebraization theorem, together with the entire worthy necessities that transcend simple advanced research or easy algebraic geometry. many of the examples identified modern 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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