English

$p$-Selmer group and Modular symbols

Number Theory 2021-11-10 v2

Abstract

In this paper, we prove that the dimension of the pp-Selmer group for an elliptic curve is controlled by certain analytic quantities associated with modular symbols, which is conjectured by Kurihara.

Keywords

Cite

@article{arxiv.2106.03370,
  title  = {$p$-Selmer group and Modular symbols},
  author = {Ryotaro Sakamoto},
  journal= {arXiv preprint arXiv:2106.03370},
  year   = {2021}
}

Comments

29 pages

R2 v1 2026-06-24T02:53:53.164Z