Invitation to Web Geometry

Name: Invitation to Web Geometry
Brand: Springer International Publishing AG
SKU: 9783319145617
Price: 1147 CZK
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Autor: Jorge Vitorio Pereira, Luc Pirio

Jazyk:

Vazba: Pevná

Vydavatel: Springer International Publishing AG

Dostupnost: Skladem u dodavatele

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

Informace o knize

Autor

Jorge Vitorio Pereira, Luc Pirio

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2015

Stránek

213

EAN

9783319145617

ISBN

3319145614

Enbook ID

09136461

Vydavatel

Springer International Publishing AG

Hmotnost

5155

Rozměry

155 x 235 x 245

Kompletní popis

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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Invitation to Web Geometry

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Kompletní popis

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