On large automorphism groups of algebraic curves in positive characteristic

Details On large automorphism groups of algebraic curves in positive characteristic On large automorphism groups of algebraic curves in positive characteristic

2007-06-15

arxiv.org/abs/0706.2320v1

Mathematics

Algebraic Geometry

Scientific paper

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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