عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781441930828
(Number (ISBN
9781475719451
NATIONAL BIBLIOGRAPHY NUMBER
Number
b402315
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Introduction to Complex Hyperbolic Spaces
General Material Designation
[Book]
First Statement of Responsibility
by Serge Lang.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1987.
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441930828
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Global analysis (Mathematics).
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Lang, Serge.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307154500.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
