pith. sign in

arxiv: 1211.5833 · v2 · pith:KS2Q6A4Gnew · submitted 2012-11-26 · 🧮 math.AG · math.NT

On p-torsion of p-adic elliptic curves with additive reduction

Ren\'e Pannekoek This is my paper
classification 🧮 math.AG math.NT
keywords p-adicreductionadditiveellipticp-torsionconditionscontaincurve
0
0 comments X
read the original abstract

Let E be an elliptic curve with additive reduction over the p-adic numbers, and let G be the group of p-adic points on E that have good reduction. This paper gives necessary and sufficient conditions for G to contain non-trivial p-torsion.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Nontrivial torsion in the Tate--Shafarevich group of elliptic curves via visibility and twists

    math.NT 2026-02 unverdicted novelty 5.0

    Visibility theorems imply nontrivial ℓ-torsion in Sha of quadratic twists of elliptic curves with additive reduction at ℓ; for ℓ=3 this yields pairs of curves with identical BSD data and Kodaira symbols but isomorphic...