Cyclotomic torsion points in elliptic schemes

Michele Giacomini

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arXiv · 1802.02386

Cyclotomic torsion points in elliptic schemes

Michele Giacomini

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Abstract

An elliptic curve defined over a number field possesses only a finite number of torsion points defined over the cyclotomic closure of its field of definition. In analogy to the relative version of the Manin-Mumford conjecture stated by Masser and Zannier, we propose a family version of the above statement and prove it under a suitable integrality condition.

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Michele Giacomini. 2018-02-07. Cyclotomic torsion points in elliptic schemes. https://arxiv.org/abs/1802.02386

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