Email this article A Difference Analogue of Cartan’s Second Main Theorem for Meromorphic Mappings
- Authors: Thin N.V.1,2
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Affiliations:
- Shandong University
- Thai Nguyen University of Education
- Issue: Vol 54, No 4 (2019)
- Pages: 240-252
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228354
- DOI: https://doi.org/10.3103/S106836231904006X
- ID: 228354
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Abstract
In this paper, we prove a difference analogue of Cartan’s second main theorem for a meromorphic mapping on ℂm intersecting a finite set of fixed hyperplanes in general position on ℙn(ℂ). As an application, we prove a uniqueness theorem for a class of holomorphic curves by inverse images of n + 4 hyperplanes. This result is so far the best result about the uniqueness problem for holomorphic curves by inverse images of hyperplanes.
About the authors
N. V. Thin
Shandong University; Thai Nguyen University of Education
Author for correspondence.
Email: thinmath@gmail.com
China, Jinan; Thai Nguyen city
