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Introduction to Complex Hyperbolic Spaces - Livres de poche

2010, ISBN: 1441930825

[EAN: 9781441930828], Neubuch, [PU: Springer New York], DIOPHANTINEAPPROXIMATION; FINITE; NEVANLINNATHEORY; APPROXIMATION; BOUNDARYELEMENTMETHOD; COMPLEXNUMBER; CURVATURE; FIELD; FUNCTION… Plus…

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2010, ISBN: 9781441930828

Kartoniert, 284 Seiten, 235mm x 155mm x 16mm, Sprache(n): eng Since the appearance of Kobayashi's book, there have been several re­ sults at the basic level of hyperbolic spaces, for inst… Plus…

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ISBN: 9781441930828

Since the appearance of Kobayashi's book, there have been several re­ sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, Koba… Plus…

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Lang, Serge:
Introduction to Complex Hyperbolic Spaces - Livres de poche

2010, ISBN: 9781441930828

Springer New York, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1987, 280 Seiten, Publiziert: 2010-02-19T00:00:01Z, Produktgruppe: Buch, 0.88 kg, Analysis, Naturwissenscha… Plus…

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Lang, Serge:
Introduction to Complex Hyperbolic Spaces - Livres de poche

2010, ISBN: 9781441930828

Springer New York, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1987, 280 Seiten, Publiziert: 2010-02-19T00:00:01Z, Produktgruppe: Buch, 0.4 kg, Analysis, Naturwissenschaf… Plus…

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Introduction to Complex Hyperbolic Spaces

Since the appearance of Kobayashi's book, there have been several re­ sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, Kobayashi, Noguchi, etc. which make it worthwhile to have a systematic exposition. Although of necessity I re­ produce some theorems from Kobayashi, I take a different direction, with different applications in mind, so the present book does not super­ sede Kobayashi's. My interest in these matters stems from their relations with diophan­ tine geometry. Indeed, if X is a projective variety over the complex numbers, then I conjecture that X is hyperbolic if and only if X has only a finite number of rational points in every finitely generated field over the rational numbers. There are also a number of subsidiary conjectures related to this one. These conjectures are qualitative. Vojta has made quantitative conjectures by relating the Second Main Theorem of Nevan­ linna theory to the theory of heights, and he has conjectured bounds on heights stemming from inequalities having to do with diophantine approximations and implying both classical and modern conjectures. Noguchi has looked at the function field case and made substantial progress, after the line started by Grauert and Grauert-Reckziegel and continued by a recent paper of Riebesehl. The book is divided into three main parts: the basic complex analytic theory, differential geometric aspects, and Nevanlinna theory. Several chapters of this book are logically independent of each other.

Informations détaillées sur le livre - Introduction to Complex Hyperbolic Spaces


EAN (ISBN-13): 9781441930828
ISBN (ISBN-10): 1441930825
Version reliée
Livre de poche
Date de parution: 2010
Editeur: Springer New York
280 Pages
Poids: 0,427 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2011-02-02T11:26:42+01:00 (Paris)
Page de détail modifiée en dernier sur 2024-01-18T20:19:33+01:00 (Paris)
ISBN/EAN: 9781441930828

ISBN - Autres types d'écriture:
1-4419-3082-5, 978-1-4419-3082-8
Autres types d'écriture et termes associés:
Auteur du livre: serge lang, kobayashi, nevanlinna, complex numbers geometry, riebesehl
Titre du livre: hyperbolic space, hyperbolic complex spaces, introduction


Données de l'éditeur

Auteur: Serge Lang
Titre: Introduction to Complex Hyperbolic Spaces
Editeur: Springer; Springer US
272 Pages
Date de parution: 2010-12-01
New York; NY; US
Imprimé / Fabriqué en
Poids: 0,454 kg
Langue: Anglais
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
VIII, 272 p.

BC; Analysis; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Diophantine approximation; Finite; Nevanlinna theory; approximation; boundary element method; complex number; curvature; field; function; geometry; theorem; vector bundle; Analysis; BB

0 Preliminaries.- I Basic Properties.- II Hyperbolic Imbeddings.- III Brody’s Theorem.- IV Negative Curvature on Line Bundles.- V Curvature on Vector Bundles.- VI Nevanlinna Theory.- VII Applications to Holomorphic Curves in Pn.- VIII Normal Families of the Disc in Pn Minus Hyperplanes.

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