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By Jorge Pereira,Luc Pirio

This publication takes an in-depth examine abelian family of codimension one webs within the advanced analytic surroundings. In its classical shape, net 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 e-book contain what number abelian family members can an online hold and which webs are sporting the maximal attainable variety of abelian kin. The e-book bargains entire proofs of either Chern’s certain and Trépreau’s algebraization theorem, together with all of the worthwhile must haves that transcend easy complicated research or simple algebraic geometry. many of the examples identified modern 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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An Invitation to Web Geometry (IMPA Monographs) by Jorge Pereira,Luc Pirio

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