عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
شابک
شابک
9781441930828
شابک
9781475719451
شماره کتابشناسی ملی
شماره
b402315
عنوان و نام پديدآور
عنوان اصلي
Introduction to Complex Hyperbolic Spaces
نام عام مواد
[Book]
نام نخستين پديدآور
by Serge Lang.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York, NY :
نام ناشر، پخش کننده و غيره
Imprint: Springer,
تاریخ نشرو بخش و غیره
1987.
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781441930828
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Global analysis (Mathematics).
موضوع مستند نشده
Mathematics.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Lang, Serge.
نام تنالگان _ (مسئولیت معنوی برابر)
مستند نام تنالگان تاييد نشده
SpringerLink (Online service)
مبدا اصلی
تاريخ عمليات
20190307154500.0
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب اطلاعات رکورد کتابشناسی
نوع ماده
[Book]
اطلاعات دسترسی رکورد
تكميل شده
Y
