Mohlo by se vám také líbit

Více informací o knize Meromorphic Functions over Non-Archimedean Fields

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 118 bodů

Anotace knihy

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).

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Meromorphic Functions over Non-Archimedean Fields
• Autor: ei-Chu Hu, hung-Chun Yang
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 295
• EAN: 9780792365327
• ISBN: 0792365321
• ID: 05250796
• Nakladatelství: Springer
• Hmotnost: 1340 g
• Rozměry: 243 × 160 × 21 mm
• Datum vydání: 01. September 2000

Oblíbené z jiného soudku

---

---

---