Second main theorem and unicity of meromorphic mappings for hypersurfaces of projective varieties in subgeneral position

Second main theorem and unicity of meromorphic mappings for hypersurfaces of projective varieties in subgeneral position
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发表时间:
2013-02
期刊:
arXiv: Complex Variables
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通讯作者:
S. Quang
S. Quang
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其他
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作者:
S. Quang

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本文的目的是双重的。第一个是证明 $\C^m$ 亚纯映射到具有截断计数函数的次一般位置相交超曲面的复射影簇的第二个主要定理。第二个是展示这些映射的唯一性定理,这些映射共享很少的超曲面而不计算重数。
The purpose of this article is twofold. The first is to prove a second main theorem for meromorphic mappings of $\C^m$ into a complex projective variety intersecting hypersurfaces in subgeneral position with truncated counting functions. The second is to show a uniqueness theorem for these mappings which share few hypersurfaces without counting multiplicity.