论文标题
具有$π_1$的大线性表示的品种的双光纤性
Hyperbolicity of varieties with big linear representation of $π_1$
论文作者
论文摘要
我们显示了一个复杂的投影型品种$ x $的以下代数结果，其大量代表为$π_1$在半简单的代数组中：存在一个适当的子变量$ z \ subset x $，以至于任何代数曲线$ c $，任何holomorphic map $γ$ c \ c \ t c \ tos x $ c $ c $ c $ c $ c $ c（c）代数形态。作为一种应用程序，我们证明了某些品种的伪式双曲线，具有$π_1$的大还原表示。
We show the following algebraicity result for a complex projective variety $X$ with big representation of $π_1$ into a semi-simple algebraic group: There exists a proper subvariety $Z \subset X$ such that for any algebraic curve $C$, any holomorphic map $γ:\, C \to X$ with $γ(C) \not\subset Z$ is induced from an algebraic morphism. As an application, we prove pseudo-Brody hyperbolicity of certain varieties with big reductive representations of $π_1$.
