Belyi的theoetics在特征二
Belyi's theoerm in characteristic two
摘要：
我们证明了Belyi定理在特征二的一个类似物。我们的证明包括以下三个步骤。本文首先对特征为2的代数闭域上曲线间的态射引入了一个新的概念，称为“伪驯服”。其次，通过证明一个障碍类的消失，证明了一个“伪驯服”的有理函数的存在性。最后，我们将从“伪驯服”的有理函数构造一个驯服分歧的有理函数。
英文摘要：
We prove an analogue of Belyi's theorem in characteristic two. Our proof consists of the following three steps. We first introduce a new notion called "pseudo-tame" for morphisms between curves over an algebraically closed field of characteristic two. Secondly, we prove the existence of a "pseudo-tame" rational function by proving vanishing of an obstruction class. Finally we will construct a tamely ramified rational function from the "pseudo-tame" rational function.
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