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 |
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| 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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