An Invitation to Web Geometry

• Main Authors: Vitório Pereira, Jorge (Author), Pirio, Luc (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: IMPA Monographs ; 2
• Subjects: Mathematics.; Algebraic geometry.; Functions of complex variables.; Differential geometry.; Algebraic Geometry.; Differential Geometry.; Several Complex Variables and Analytic Spaces.

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...

Table of Contents:

• Local and Global Webs
• Abelian Relations
• Abel's Addition Theorem
• The Converse to Abel's Theorem
• Algebraization
• Exceptional Webs.    .