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 ebook takes an in-depth examine abelian family members 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 speculation 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 comprise what number abelian kin can an online hold and which webs are wearing the maximal attainable variety of abelian family members. The e-book deals whole proofs of either Chern’s sure and Trépreau’s algebraization theorem, together with the entire valuable must haves that transcend trouble-free complicated research or uncomplicated algebraic geometry. lots of the examples recognized 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 also be presented.

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

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