ShopSpell

Meromorphic Functions over Non-Archimedean Fields [Paperback]

$66.99     $109.99   39% Off     (Free Shipping)
127 available
  • Category: Books (Mathematics)
  • Author:  Pei-Chu Hu, Chung-Chun Yang
  • Author:  Pei-Chu Hu, Chung-Chun Yang
  • ISBN-10:  9048155460
  • ISBN-10:  9048155460
  • ISBN-13:  9789048155460
  • ISBN-13:  9789048155460
  • Publisher:  Springer
  • Publisher:  Springer
  • Binding:  Paperback
  • Binding:  Paperback
  • Pub Date:  01-Feb-2010
  • Pub Date:  01-Feb-2010
  • Item ID: 100978100
  • List Price: $109.99
  • Seller: ShopSpell
  • Ships in: 2 business days
  • Transit time: Up to 5 business days
  • Delivery by: Apr 24 to Apr 26
  • Notes: Brand New Book. Order Now.

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).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 wils8

Add Review