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

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.

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.

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DOI : https://doi.org/10.5802/jtnb.990
Classification : 14G35,  14H37
Mots clés : Automorphisms of curves, non-split Cartan modular curves
@article{JTNB_2017__29_2_535_0,
     author = {Josep Gonz\'alez},
     title = {Constraints on the automorphism group of a curve},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {535--548},
     publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
     volume = {29},
     number = {2},
     year = {2017},
     doi = {10.5802/jtnb.990},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.990/}
}
Josep González. Constraints on the automorphism group of a curve. Journal de Théorie des Nombres de Bordeaux, Tome 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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