On Automorphisms of Algebraic CurvesContemporary Mathematics (2019)
An irreducible, algebraic curve X_g of genus g≥2 defined over an algebraically closed field k of characteristic char(k) = p ≥ 0, has finite automorphism group Aut(Xg). In this paper we describe methods of determining the list of groups Aut(X_g) for a fixed g≥2. Moreover, equations of the corresponding families of curves are given when possible.
- algebraic curve,
- automorphism group,
- Riemann surface
Citation InformationSean A Broughton, Aaron Wootton and Tony Shaska. "On Automorphisms of Algebraic Curves" Contemporary Mathematics Vol. 724 (2019) p. 175 - 212 ISSN: 0271-4132
Available at: http://works.bepress.com/allen_broughton/40/