說明 
1 online resource (xvii, 213 pages) : illustrations, digital ; 24 cm 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
系列 
IMPA monographs ; volume 2 

IMPA monographs ; volume 2

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

This book takes an indepth 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 Trepreau'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 nonalgebraizable 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 

Springer 
Host Item 
Springer eBooks

主題 
Webs (Differential geometry)


Geometry, Differential


Mathematics


Algebraic Geometry


Differential Geometry


Several Complex Variables and Analytic Spaces

Alt Author 
Pirio, Luc, author


SpringerLink (Online service)

