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arXiv · 1807.02742

On automorphisms of algebraic curves

A. Broughton·T. Shaska·A. Wootton
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Abstract

An irreducible, algebraic curve $\mathcal X_g$ of genus $g\geq 2$ defined over an algebraically closed field $k$ of characteristic $\mbox{char } \, k = p \geq 0$, has finite automorphism group $\mbox{Aut} (\mathcal X_g)$. In this paper we describe methods of determining the list of groups $\mbox{Aut} (\mathcal X_g)$ for a fixed $g\geq 2$. Moreover, equations of the corresponding families of curves are given when possible.

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A. Broughton, T. Shaska, A. Wootton. 2018-07-08. On automorphisms of algebraic curves. https://arxiv.org/abs/1807.02742

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