In this note, 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.

A few examples of points of finite order on some smooth plane cubics / Failla, Gioia; Frias Medina, J B; Lahyane, M. - In: ATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. - ISSN 1825-1242. - 95:No.1(2017), pp. 1-35. [10.1478/AAPP.951S1]

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

FAILLA, Gioia
;
2017-01-01

Abstract

In this note, 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.
2017
Projective plane, Algebraic cubic curves
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/5826
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