English

Constraints on the automorphism group of a curve

Number Theory 2016-02-22 v2

Abstract

For a curve XX of genus >1>1 defined over a finite field, we present a criterion which allows us to state the non existence of automorphisms of order a power of a rational prime. We show how this criterion can be used to determine the automorphism group of some modular curves of high genus.

Keywords

Cite

@article{arxiv.1503.05691,
  title  = {Constraints on the automorphism group of a curve},
  author = {Josep González},
  journal= {arXiv preprint arXiv:1503.05691},
  year   = {2016}
}