An Invitation to Web Geometry: 2 (IMPA Monographs) - Tapa blanda

Vitório Pereira, Jorge Vitorio

 
9783319385082: An Invitation to Web Geometry: 2 (IMPA Monographs)

Sinopsis

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

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Acerca del autor

Jorge Vitorio Pereira is a Research Associate at IMPA (Instituto Nacional de Matematica Pura e Aplicada). Luc Pirio leads research efforts at CNRS.

De la contraportada

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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Otras ediciones populares con el mismo título

9783319145617: An Invitation to Web Geometry: 2 (IMPA Monographs, 2)

Edición Destacada

ISBN 10:  3319145614 ISBN 13:  9783319145617
Editorial: Springer, 2015
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