On automorphisms of algebraic curves

Broughton, S. Allen and Shaska, Tanush and Wootton, Aaron (2018) On automorphisms of algebraic curves. In: Algebraic curves and their applications. Contemporary Math., 724 . American Mathematical Society, USA, pp. 187-224. (In Press)

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Abstract

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

Item Type: Book Section
Subjects: Q Science >
Divisions: Engineering, Science and Mathematics
Engineering, Science and Mathematics > Mathematics
Depositing User: Editor Risat
Date Deposited: 03 Oct 2018 01:12
Last Modified: 03 Oct 2018 01:59
URI: http://repo.risat.org/id/eprint/355

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