Second main theorems and uniqueness problem of meromorphic mappings with moving hypersurfaces
Second main theorems and uniqueness problem of meromorphic mappings with moving hypersurfaces
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发表时间：
2013-02
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通讯作者：
S. Quang
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作者：
S. Quang
本文建立了Cm到Pn（C）的亚纯映射和具有截断计数函数的移动超曲面的一些新的第二主要定理.在不计重数的情况下，给出了这类映射分担几个移动超曲面的唯一性定理。这个结果是Dethlo-Tan [3]最近结果的改进.而且，所得结果中的亚纯映射可以是代数退化的。本文的最后一个目的是研究亚纯映射在小同集上一致的唯一性问题。
In this article, we establish some new second main theorems for meromorphic mappings of C m into P n (C) and moving hypersurfaces with truncated counting functions. A uniqueness theorem for these mappings sharing few moving hypersurfaces without counting multiplicity is also given. This result is an improvement of the recent result of Dethlo - Tan [3]. Moreover the meromorphic mappings in our result may be algebraically degenerate. The last purpose of this article is to study uniqueness problem in the case where the meromorphic mappings agree on small identical sets.