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An Invitation to Web Geometry

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An Invitation to Web Geometry/ by Jorge Vitório Pereira, Luc Pirio.
Author:	Vitório Pereira, Jorge.
other author:	Pirio, Luc.
Description:	XVII, 213 p. 29 illus., 17 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic geometry. -
Online resource:	https://doi.org/10.1007/978-3-319-14562-4
ISBN:	9783319145624

An Invitation to Web Geometry
Vitório Pereira, Jorge.

An Invitation to Web Geometry[electronic resource] /by Jorge Vitório Pereira, Luc Pirio. - 1st ed. 2015. - XVII, 213 p. 29 illus., 17 illus. in color.online resource. - IMPA Monographs ;2. - IMPA Monographs ;3.

Local and Global Webs -- Abelian Relations -- Abel's Addition Theorem -- The Converse to Abel's Theorem -- Algebraization -- Exceptional Webs. .

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 Trépreau’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.

ISBN: 9783319145624

Standard No.: 10.1007/978-3-319-14562-4doiSubjects--Topical Terms:

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

An Invitation to Web Geometry
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