On holomorphic curves in semi-Abelian varieties
On holomorphic curves in semi-Abelian varieties
复制标题
半阿贝尔簇的全纯曲线
DOI：
10.1007/pl00004640
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发表时间：
1996
影响因子：
0.8
通讯作者：
J. Noguchi
中科院分区：
文献类型：
--
作者：
J. Noguchi
利用{\it喷射投影方法}和Siu-Yeung的对数Wronskian喷射微分，证明了全纯曲线在半Abel簇中的代数退化性（Lang猜想推广到半Abel簇）.我们还证明了一个结构定理的轨迹，其中包含所有可能的图像的非常整全纯曲线在一个半阿贝尔簇省略一个因子。
The algebraic degeneracy of holomorphic curves in a semi-Abelian variety omitting a divisor is proved (Lang's conjecture generalized to semi-Abelian varieties) by making use of the {\it jet-projection method} and the logarithmic Wronskian jet differential after Siu-Yeung. We also prove a structure theorem for the locus which contains all possible image of non-constant entire holomorphic curves in a semi-Abelian variety omitting a divisor.