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An invitation to web geometry [electronic resource]
- 作者： Pereira, Jorge Vitorio.
- 其他作者：
- 其他題名：
- IMPA monographs ;
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： IMPA monographs ;v.2
- 主題： Webs (Differential geometry) , Geometry, Differential , Mathematics , Algebraic Geometry. , Differential Geometry. , Several Complex Variables and Analytic Spaces.
- ISBN： 9783319145624 (electronic bk.) 、 9783319145617 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Local and Global Webs -- Abelian Relations -- Abel's Addition Theorem -- The Converse to Abel's Theorem -- Algebraization -- Exceptional Webs.
- 摘要註: 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.
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讀者標籤：
- 系統號： 005128207 | 機讀編目格式
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