Jorge Pereira,Luc Pirio's An Invitation to Web Geometry (IMPA Monographs) PDF

By Jorge Pereira,Luc Pirio

ISBN-10: 3319145614

ISBN-13: 9783319145617

ISBN-10: 3319385089

ISBN-13: 9783319385082

This booklet takes an in-depth examine abelian family members of codimension one webs within the advanced analytic surroundings. 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 idea of abelian relation, a selected form of sensible relation one of the first integrals of the foliations of an online. major focuses of the booklet comprise what percentage abelian relatives can an online hold and which webs are wearing the maximal attainable variety of abelian family. The publication deals entire proofs of either Chern’s sure and Trépreau’s algebraization theorem, together with the entire helpful necessities that transcend straight forward advanced research or easy 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 is usually presented.

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

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