An Invitation to Web Geometry is popular PDF and ePub book, written by Jorge Vitório Pereira in 2015-02-23, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Invitation to Web Geometry can be Read Online from any device for your convenience.
An Invitation to Web Geometry Book PDF Summary
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.
Detail Book of An Invitation to Web Geometry PDF
- Author : Jorge Vitório Pereira
- Release : 23 February 2015
- Publisher : Springer
- ISBN : 9783319145624
- Genre : Mathematics
- Total Page : 213 pages
- Language : English
- PDF File Size : 7,7 Mb
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