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

Gioia Failla, Juan Bosco Frías Medina, Mustapha Lahyane

Abstract


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.

Keywords


Projective plane; Algebraic cubic curves;

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DOI: http://dx.doi.org/10.1478/AAPP.951S1

Copyright (c) 2017 Gioia Failla

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