Bernhard Köck
Published 2009-11-03, updated 2014-04-14Version 2
Given a faithful action of a finite group on an algebraic curve of genus at least 2, we prove that the induced action on the space of global holomorphic differentials is faithful as well, except in the following very special case: the given action is not tame, the genus of the quotient curve is 0 and the characteristic of the base field is 2.
Comments: 7 pages. The content of this short preprint is now part of the larger preprint arXiv:1404.3135
Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields
On automorphisms of algebraic curves
Stability conditions under change of base field
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