by Serge Lang (Author). ISBN-13: 978-0387964478.

Since the appearance of Kobayashi's book, there have been several re sults at the basic level of 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. 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.

Автор: Serge Lang Название: Introduction to Complex Hyperbolic Spaces Издательство: Springer .

The method revealed in this book is unlike any other, in which the hyperbolic number and hyperbolic complex function in hyperbolic domains, and the complex number and complex function in elliptic domains are used.

Items related to Introduction to Complex Hyperbolic Spaces

Items related to Introduction to Complex Hyperbolic Spaces. Serge Lang Introduction to Complex Hyperbolic Spaces. ISBN 13: 9781441930828. Introduction to Complex Hyperbolic Spaces. Since the appearance of Kobayashi's book, there have been several reş sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, Kobayashi, Noguchi, etc. Although of necessity I reş produce some theorems from Kobayashi, I take a different direction, with different applications in mind, so the present book does not superş sede Kobayashi's.

Lang spent much of his professional time engaged in political activism. He was a staunch socialist and active in opposition to the Vietnam War, volunteering for the 1966 anti-war campaign of Robert Scheer (the subject of his book The Scheer Campaign). Lang later quit his position at Columbia in 1971 in protest over the university's treatment of anti-war protesters.

S. Lang, Hyperbolic and diophantine analysis, Bull.

Introduction to Complex Hyperbolic Spaces. II Hyperbolic Imbeddings.

Moreover the complex space M is said to be "hyperbolic" if such a. pseudodistance actually is a real distance, namely it. assigns. to pair of distinct points of M. In our situation, we introduce a sim-. ilar pseudodistance dv^M on any subset of V of a complex analytic space. III Brody's Theorem. IV Negative Curvature on Line Bundles. V Curvature on Vector Bundles.