Książka Invitation to Web Geometry Jorge Vitorio Pereira

Invitation to Web Geometry

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 8-11 dni
214.83
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 - Miękka
Data wydania
2016
strony
213
EAN
9783319385082
ISBN
3319385089
Enbook ID
15194486
Waga
3999
Wymiary
155 x 235 x 12

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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