An Invitation to Web Geometry (Hardcover, 2015 ed.)

This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern's bound and Trepreau's algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	IMPA Monographs, 2
Release date:	February 2015
First published:	2015
Authors:	Jorge Vitorio Pereira • Luc Pirio
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	213
Edition:	2015 ed.
ISBN-13:	978-3-319-14561-7
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Promotions
LSN:	3-319-14561-4
Barcode:	9783319145617

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