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作者 Pereira, Jorge Vitorio, author
書名 An invitation to web geometry / by Jorge Vitorio Pereira, Luc Pirio
出版項 Cham : Springer International Publishing : Imprint: Springer, 2015
國際標準書號 9783319145624 (electronic bk.)
9783319145617 (paper)
國際標準號碼 10.1007/978-3-319-14562-4 doi
book jacket
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 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 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 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
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)
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