Automorphisms of algebraic curves

Broughton, S. Allen and Shaska, Tanush and Wootton, Aaron (2018) Automorphisms of algebraic curves. Contemporary Mathematics. (Submitted)

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Abstract

An irreducible, algebraic curve Xg of genus g ≥ 2 defined over an algebraically closed field k of characteristic char k = p ≥ 0, has finite auto- morphism group Aut(X). In this paper we describe methods of determining the list of groups Aut(Xg) for a fixed g ≥ 2. Moreover, equations of the corresponding families of curves are given when possible. We pay special attention to superelliptic curves.

Item Type: Article
Subjects: Q Science
Q Science >
Divisions: Engineering, Science and Mathematics > Mathematics
Depositing User: Editor Risat
Date Deposited: 20 Jun 2018 13:13
Last Modified: 23 Jun 2018 10:47
URI: http://repo.risat.org/id/eprint/326

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