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Více informací o knize Invitation to Web Geometry

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Invitation to Web Geometry
• Autor: Jorge Vitorio Pereira, Luc Pirio
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 213
• EAN: 9783319145617
• ISBN: 3319145614
• ID: 09136461
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 5155 g
• Rozměry: 235 × 155 × 245 mm
• Datum vydání: 24. February 2015

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