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Introduction to Complex Hyperbolic Spaces (Paperback) - Serge Lang
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Serge Lang:
Introduction to Complex Hyperbolic Spaces (Paperback) - Livres de poche

2010, ISBN: 1441930825

ID: 14314169968

[EAN: 9781441930828], Neubuch, [PU: Springer-Verlag New York Inc., United States], Language: English . Brand New Book ***** Print on Demand *****. 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.

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

2010, ISBN: 9781441930828

Edition reliée

[ED: Softcover], [PU: Springer, Berlin], 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. Softcover reprint of hardcover 1st ed. 1987. 2010. viii, 272 S. 12 SW-Abb. 235 mm Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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

ISBN: 9781441930828

ID: 9781441930828

Mathematics; Analysis Diophantine approximation, Finite, Nevanlinna theory, approximation, boundary element method, complex number, curvature, field, function, geometry, theorem, vector bundle Books Book (Paperback Initiative), Springer Science+Business Media

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ISBN: 9781441930828

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Introduction to Complex Hyperbolic Spaces Serge Lang, Books, Science and Nature, Introduction to Complex Hyperbolic Spaces Books>Science and Nature, Springer New York

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

2010, ISBN: 9781441930828

ID: 16179812

1st ed. Softcover of orig. ed. 1987, Softcover, Buch, [PU: Springer-Verlag New York Inc.]

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Détails sur le livre
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-Verlag GmbH
280 Pages
Poids: 0,427 kg
Langue: eng/Englisch

Livre dans la base de données depuis 02.02.2011 11:26:42
Livre trouvé récemment le 18.08.2017 15:07:46
ISBN/EAN: 9781441930828

ISBN - Autres types d'écriture:
1-4419-3082-5, 978-1-4419-3082-8


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