Name: An Invitation to Web Geometry
SKU: 58487301
Price: 1860.00 TWD
Availability: InStock
Author: Vitório Pereira, Jorge ; Pirio, Luc
ISBN: 9783319385082

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Type

Physical Book

Author

Jorge Vitório Pereira

Luc Pirio

Publisher

Springer

Language

English

Pages

213

Format

Paperback

ISBN13

9783319385082

Synopsis "An Invitation to Web Geometry"

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.

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An Invitation to Web Geometry - Vitório Pereira, Jorge ; Pirio, Luc

Synopsis "An Invitation to Web Geometry"

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