English

Tate-Shafarevich groups of constant elliptic curves and isogeny volcanos

Number Theory 2019-04-02 v1

Abstract

We describe the structure of Tate-Shafarevich groups of a constant elliptic curves over function fields by exploiting the volcano structure of isogeny graphs of elliptic curves over finite fields.

Keywords

Cite

@article{arxiv.1904.00501,
  title  = {Tate-Shafarevich groups of constant elliptic curves and isogeny volcanos},
  author = {Brendan Creutz and Jose Felipe Voloch},
  journal= {arXiv preprint arXiv:1904.00501},
  year   = {2019}
}