摘要翻译：
本文的目的是证明C^m到Cp^n的亚纯映象在很少的超平面H_j,j=1,...,q下的唯一性定理。对于q\geq3n+2，唯一性定理成立是众所周知的。本文证明了对于每一个非负整数c，存在一个正整数N(c)，它只以显式的方式依赖于c，从而证明了当q\geq(3N+2-c)和N\geqn(c)时，唯一性定理成立。此外，我们还证明了当n>>0时，q公式中的系数n可以用严格小于3的数代替。同时，对最近的一大批唯一性定理进行了较大的推广。
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英文标题：
《Uniqueness Theorems for Meromorphic Mappings with Few Targets》
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作者：
Gerd Dethloff and Tran Van Tan
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最新提交年份：
2007
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分类信息：

一级分类：Mathematics        数学
二级分类：Complex Variables        复变数
分类描述：Holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves
全纯函数，自守群作用与形式，伪凸性，复几何，解析空间，解析束
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一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  The purpose of this article is to show uniqueness theorems for meromorphic mappings of C^m to CP^n with few hyperplanes H_j, j=1,...,q. It is well known that uniqueness theorems hold for q \geq 3n+2.   In this paper we show that for every nonnegative integer c there exists a positive integer N(c), depending only on c in an explicit way, such that uniqueness theorems hold if q\geq (3n+2 -c) and n\geq N(c). Furthermore, we also show that the coefficient of n in the formula of q can be replaced by a number which is strictly smaller than 3 for all n>>0. At the same time, a big number of recent uniqueness theorems are generalized considerably.
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PDF链接：
https://arxiv.org/pdf/0711.1720