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摘要翻译：
Stichtenoth在研究代数曲线的大的$k$-自同构群时，得到了定义在特征为$p$的代数闭域上的代数曲线$\cx$的第一分支群阶的一个上界。Stichtenoth的界提出了将所有$\k$-自同构群$G$分类为以下性质的问题：存在一个点$p\in\cx$，对此点\begin{方程}g_p^{（1）}>\frac{p}{p-1}g。本文通过定理1.3的证明，得到了这样一种分类
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英文标题：
《On large automorphism groups of algebraic curves in positive
characteristic》
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作者：
Massimo Giulietti and Gabor Korchmaros
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
In his investigation on large $K$-automorphism groups of an algebraic curve, Stichtenoth obtained an upper bound on the order of the first ramification group of an algebraic curve $\cX$ defined over an algebraically closed field of characteristic $p$. Stichtenoth's bound has raised the problem of classifying all $\K$-automorphism groups $G$ of $\cX$ with the following property: There is a point $P\in \cX$ for which \begin{equation} |G_P^{(1)}|>\frac{p}{p-1}g. \end{equation} Such a classification is obtained here by proving Theorem 1.3
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PDF链接：
https://arxiv.org/pdf/0706.2320
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