The second main theorem for entire curves into Hilbert modular surfaces
The second main theorem for entire curves into Hilbert modular surfaces
复制标题
将整条曲线转化为希尔伯特模曲面的第二个主要定理
DOI：
10.1515/forum-2013-6002
复制
发表时间：
2015
影响因子：
0.8
通讯作者：
Yusaku Tiba
中科院分区：
文献类型：
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作者：
Yusaku Tiba
本文的主要目的是证明整曲线转化为Hilbert模曲面的第二主要定理。我们证明了一个条件，使得一般类型的Hilbert模曲面中的整个曲线包含在Hilbert模曲面的例外因子中。我们还证明了光滑射影代数曲面上全纯叶理的紧叶的第二个主要定理。
Our main goal of this article is to prove the second main theorem for entire curves into Hilbert modular surfaces. We show a condition such that entire curves in a Hilbert modular surface of general type are contained in the exceptional divisor of a Hilbert modular surface. We also show the second main theorem for compact leaves of holomorphic foliation on a smooth projective algebraic surface.