Plectic p-adic invariants
Number Theory
2021-04-27 v1
Abstract
For modular elliptic curves over number fields of narrow class number one, and with multiplicative reduction at a collection of p-adic primes, we define new p-adic invariants. Inspired by Nekovar and Scholl's plectic conjectures, we believe these invariants control the Mordell--Weil group of higher rank elliptic curves and we support our expectations with numerical experiments.
Cite
@article{arxiv.2104.12566,
title = {Plectic p-adic invariants},
author = {Michele Fornea and Xavier Guitart and Marc Masdeu},
journal= {arXiv preprint arXiv:2104.12566},
year = {2021}
}