Abstract
Abel’s works, which we mentioned in the last two chapters, are the first in which the modern notion of genus appeared. Nevertheless, it was in a hidden form, a little like a secondary character remaining in the shadows, devoid of name. It is worth trying to understand better the general problems which preoccupied Abel at that time, of which [128] is only an expression. Happily for us, Abel wrote about these problems in an 1828 letter [2] to Legendre
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References
N.H. Abel, Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes, Presented at the French Académie des Sciences in Paris on the 30 October 1826. Republished in Œuvres complètes de Niels Henrik Abel, vol. I, ed. by L. Sylow, S. Lie (Grondahl and Son, Christiania, 1881), pp. 145–211
N.H. Abel, Lettre à Legendre du 25 Novembre 1828. Republished in Œuvres complètes de Niels Henrik Abel, vol. II, ed. by L. Sylow, S. Lie (Grondahl and Son, Christiania, 1881), pp. 271–279
S.L. Kleiman, What is Abel’s theorem anyway? in [127], pp. 395–440
A.-M. Legendre, Traité des fonctions elliptiques, Tome Premier (Huzard-Courcier, Paris, 1825)
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Popescu-Pampu, P. (2016). Abel’s Motivations. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_11
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DOI: https://doi.org/10.1007/978-3-319-42312-8_11
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