Téléchargez le livre : An Invitation to Web Geometry

An Invitation to Web Geometry

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Éditeur :

Springer


Collection :

IMPA Monographs

Paru le : 2015-02-23

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Description
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.
Pages
213 pages
Collection
IMPA Monographs
Parution
2015-02-23
Marque
Springer
EAN papier
9783319145617
EAN EPUB
9783319145624
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
21
Taille du fichier
3932 Ko
Prix
52,74 €

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