Constraints on the automorphism group of a curve
Journal de théorie des nombres de Bordeaux, Volume 29 (2017) no. 2, pp. 535-548.

For a curve of genus >1 defined over a finite field, we present a sufficient criterion for 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.

Pour une courbe de genre >1 définie sur un corps fini, nous présentons un critère suffisant pour la non-existence d’automorphismes de l’ordre une puissance d’un nombre premier. Nous montrons comment ce critère peut être utilisé pour déterminer le groupe d’automorphismes de certaines courbes modulaires de genres supérieurs.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/jtnb.990
Classification: 14G35, 14H37
Keywords: Automorphisms of curves, non-split Cartan modular curves
Josep González 1

1 Departament de Matemàtiques Universitat Politècnica de Catalunya EPSEVG, Avinguda Víctor Balaguer 1 E-08800 Vilanova i la Geltrú, Catalonia, Spain
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Josep González. Constraints on the automorphism group of a curve. Journal de théorie des nombres de Bordeaux, Volume 29 (2017) no. 2, pp. 535-548. doi : 10.5802/jtnb.990. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.990/

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