An Invitation to Web Geometry
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...
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2015
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58635 |
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oai:scholar.dlu.edu.vn:DLU123456789-586352023-11-11T06:13:48Z An Invitation to Web Geometry Pereira, Jorge Vitorio Pirio, Luc Webs Differential geometry Geometry Differential 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. 2015-09-30T06:48:57Z 2015-09-30T06:48:57Z 2015 Book 978-3-319-14562-4 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58635 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Webs Differential geometry Geometry Differential |
| spellingShingle |
Webs Differential geometry Geometry Differential Pereira, Jorge Vitorio Pirio, Luc An Invitation to Web Geometry |
| description |
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. |
| format |
Book |
| author |
Pereira, Jorge Vitorio Pirio, Luc |
| author_facet |
Pereira, Jorge Vitorio Pirio, Luc |
| author_sort |
Pereira, Jorge Vitorio |
| title |
An Invitation to Web Geometry |
| title_short |
An Invitation to Web Geometry |
| title_full |
An Invitation to Web Geometry |
| title_fullStr |
An Invitation to Web Geometry |
| title_full_unstemmed |
An Invitation to Web Geometry |
| title_sort |
invitation to web geometry |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58635 |
| _version_ |
1782537799625342976 |