The second main theorem for holomorphic curves into semi-Abelian varieties
The second main theorem for holomorphic curves into semi-Abelian varieties
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DOI：
10.1515/forum.2008.024
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发表时间：
2002-03
期刊：
影响因子：
3.7
通讯作者：
J. Noguchi;J. Winkelmann;K. Yamanoi
中科院分区：
文献类型：
--
作者：
J. Noguchi;J. Winkelmann;K. Yamanoi
本文建立了代数非退化全纯曲线ƒ)：→A的k射升力Jk(ƒ：→Jk(A))为半交换簇A和Jk(A)的任意代数约化子簇Z的最佳截断水平为1的第二主要定理，其低截断水平具有重要的应用价值.最后我们给出了一些应用，包括Mark Green(1974)提出的一个问题的解。2000年数学学科分类：32H30。
Abstract We establish the second main theorem with the best truncation level one for the k-jet lift Jk (ƒ) : → Jk (A) of an algebraically non-degenerate entire holomorphic curve ƒ : → A into a semi-abelian variety A and an arbitrary algebraic reduced subvariety Z of Jk (A); the low truncation level is important for applications. Finally we give some applications, including the solution of a problem posed by Mark Green (1974). 2000 Mathematics Subject Classification: 32H30.