Invitation to Web Geometry

Name: Invitation to Web Geometry
Brand: Springer International Publishing AG
SKU: 9783319385082
Price: 276.01 RON
Availability: InStock

Autor: Jorge Vitorio Pereira, Luc Pirio

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Editura: Springer International Publishing AG

Disponibilitate: În depozitul extern

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276.01 lei

This book takes an in-depth look at abelian relations of codimension one webs in the complex analyti...

Informații despre carte

Autor

Jorge Vitorio Pereira, Luc Pirio

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

213

EAN

9783319385082

ISBN

3319385089

Enbook ID

15194486

Editura

Springer International Publishing AG

Greutate

3999

Dimensiuni

155 x 235 x 12

Descriere completă

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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