[Algebraic points on some quotients of Fermat curves]
We determine explicitly algebraic points of a given degree on some quotients of Fermat curves of degree 5, 7 or 11. This Note completes previous work of Gross and Rohrlich (Invent. Math. 44 (1978) 201–224) who gave a description of points of degree at most two.
Nous déterminons explicitement les points algébriques de degré donné quelconque sur certains quotients de courbes de Fermat de degré 5, 7 ou 11. Cette Note complète les travaux de Gross et Rohrlich (Invent. Math. 44 (1978) 201–224) qui donnent la description de l'ensemble des points algébriques de degré au plus 2 sur les courbes étudiées.
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Oumar Sall 1
@article{CRMATH_2003__336_2_117_0, author = {Oumar Sall}, title = {Points alg\'ebriques sur certains quotients de courbes de {Fermat}}, journal = {Comptes Rendus. Math\'ematique}, pages = {117--120}, publisher = {Elsevier}, volume = {336}, number = {2}, year = {2003}, doi = {10.1016/S1631-073X(02)00028-6}, language = {fr}, }
Oumar Sall. Points algébriques sur certains quotients de courbes de Fermat. Comptes Rendus. Mathématique, Volume 336 (2003) no. 2, pp. 117-120. doi : 10.1016/S1631-073X(02)00028-6. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)00028-6/
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