Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali (May 2017)

A few examples of points of finite order on some smooth plane cubics

  • Gioia Failla,
  • Juan Bosco Frias Medina,
  • Mustapha Lahyane

DOI
https://doi.org/10.1478/AAPP.951S1
Journal volume & issue
Vol. 95, no. 1
p. S1

Abstract

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In this expository article we give a self-contained presentation on the rational points of finite order on smooth cubics. We mainly construct examples of points of order between four and twelve, except the eleven case of course. And, in some cases, we offer families of cubics having such kinds of points.