Pei-Chu Hu

(Author)

Meromorphic Functions Over Non-Archimedean Fields (2000)Hardcover - 2000, 30 September 2000

Meromorphic Functions Over Non-Archimedean Fields (2000)
Qty
1
Turbo
Ships in 2 - 3 days
In Stock
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Part of Series
Mathematics and Its Applications
Print Length
295 pages
Language
English
Publisher
Springer
Date Published
30 Sep 2000
ISBN-10
0792365321
ISBN-13
9780792365327

Description

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 conjecture. Here we list the process of this problem: A. Complex analysis: (i) Constant targets: R. Nevanlinna[98] for n = k = 1; H. Cartan [20] for n = k > 1; E. I. Nochka [99], [100], [101] for n > k 1; Shiffman's conjecture partially solved by Hu-Yang [71J; Griffiths-Lang's conjecture (open).

Product Details

Authors:
Pei-Chu HuChung-Chun Yang
Book Edition:
2000
Book Format:
Hardcover
Country of Origin:
US
Date Published:
30 September 2000
Dimensions:
23.39 x 15.6 x 1.91 cm
ISBN-10:
0792365321
ISBN-13:
9780792365327
Language:
English
Location:
Dordrecht
Pages:
295
Publisher:
Weight:
607.81 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.