New PDF release: An Invitation to Web Geometry (IMPA Monographs)

By Jorge Pereira,Luc Pirio

This booklet takes an in-depth examine abelian family members of codimension one webs within the complicated analytic surroundings. In its classical shape, net geometry is composed within the research of webs as much as neighborhood diffeomorphisms. an important a part of the idea revolves round the notion of abelian relation, a specific form of practical relation one of the first integrals of the foliations of an internet. major focuses of the e-book comprise what number abelian family can an online hold and which webs are sporting the maximal attainable variety of abelian family. The booklet bargains entire proofs of either Chern’s sure and Trépreau’s algebraization theorem, together with the entire helpful necessities that transcend basic complicated research or simple 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 also be presented.

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

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