English

Torsion of $\Q$-curves over quadratic fields

Number Theory 2019-03-04 v3

Abstract

We find all the possible torsion groups of \Q\Q-curves over quadratic fields and determine which groups appear finitely and which appear infinitely often.

Keywords

Cite

@article{arxiv.1803.03460,
  title  = {Torsion of $\Q$-curves over quadratic fields},
  author = {Samuel Le Fourn and Filip Najman},
  journal= {arXiv preprint arXiv:1803.03460},
  year   = {2019}
}

Comments

11 pages, to appear in Math. Res. Letters