Książka Invitation to Web Geometry Jorge Vitorio Pereira

Invitation to Web Geometry

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
214.72
This book takes an in-depth look at abelian relations of codimension one webs in the complex analyti...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2015
strony
213
EAN
9783319145617
ISBN
3319145614
Enbook ID
09136461
Waga
5155
Wymiary
155 x 235 x 245

Pełny opis

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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