| 书目名称 | Introduction to Complex Hyperbolic Spaces | | 编辑 | Serge Lang | | 视频video | | | 图书封面 |  | | 描述 | 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 a | | 出版日期 | Book 1987 | | 关键词 | Diophantine approximation; Finite; Nevanlinna theory; approximation; boundary element method; complex num | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-1945-1 | | isbn_softcover | 978-1-4419-3082-8 | | isbn_ebook | 978-1-4757-1945-1 | | copyright | Springer Science+Business Media New York 1987 |
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发表于 2025-3-21 19:48:24
