paper

Computing the Automorphism Groups of Hyperelliptic Function Fields

arXiv:math/0305284

Abstract

The purpose of this paper is to propose an efficient method to compute the automorphism group of an arbitrary hyperelliptic function field (genus>1) over a given ground field of characteristic >2 as well as over its algebraic extensions.

16 pages, to be presented at MEGA 2003 (see http://www.mathematik.uni-kl.de/~mega2003)