Constraints on the automorphism group of a curve

2015/03/19 by González, Josep · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1503.05691

Abstract

For a curve X of genus >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.

Cited by

• Point counts, automorphisms, and gonalities of Shimura curves

Related

• Bounding the order of automorphisms of certain curves
• Automorphism groups of curves over arbitrary fields
• Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8
• Algebraic curves with automorphism groups of large prime order
• Automorphisms of X₀^*(p)