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A Difference Analogue of Cartan’s Second Main Theorem for Meromorphic Mappings
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) ( IF 0.3 ) Pub Date : 2019-08-28 , DOI: 10.3103/s106836231904006x N. V. Thin
中文翻译:
亚纯映象的Cartan第二主定理的差分类比
更新日期:2019-08-28
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) ( IF 0.3 ) Pub Date : 2019-08-28 , DOI: 10.3103/s106836231904006x N. V. Thin
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.
中文翻译:
亚纯映象的Cartan第二主定理的差分类比
在本文中,我们证明嘉当第二主定理的差类似物对ℂ亚纯映射米在ℙ一般位置相交的有限集合固定超平面Ñ(ℂ)。作为应用,我们通过n + 4个超平面的逆像证明了一类全纯曲线的唯一性定理。到目前为止,该结果是关于超平面逆图像的全纯曲线唯一性问题的最佳结果。