| 书目名称 | Meromorphic Functions over Non-Archimedean Fields | | 编辑 | Pei-Chu Hu,Chung-Chun Yang | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non Archimedean analysis and Diophantine approximations. There are two "main theorems" and defect relations that occupy a central place in N evanlinna theory. They generate a lot of applications in studying uniqueness of meromorphic functions, global solutions of differential equations, dynamics, and so on. In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications. In value distribution theory, the main problem is that given a holomorphic curve f : C -+ M into a projective variety M of dimension n and a family 01 of hypersurfaces on M, under a proper condition of non-degeneracy on f, find the defect relation. If 01 n is a family of hyperplanes on M = r in general position and if the smallest dimension of linear subspaces containing the image f(C) is k, Cartan conjectured that the bound of defect relation is 2n - k + 1. Generally, if 01 is a family of admissible or normal crossings hypersurfaces, there are respectively Shiffman‘s conjecture and Griffiths-Lang‘s conject | | 出版日期 | Book 2000 | | 关键词 | Meromorphic function; Nevanlinna theory; differential equation; distribution; iteration | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-9415-8 | | isbn_softcover | 978-90-481-5546-0 | | isbn_ebook | 978-94-015-9415-8 | | copyright | Springer Science+Business Media Dordrecht 2000 |
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发表于 2025-3-21 19:38:05
