@article{98fad0eb74a743e48cc843f0b7856256,
title = "Plectic p-adic invariants",
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 Nekov{\'a}{\v r} 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.",
keywords = "BSD, Elliptic curves, Plectic, Stark-Heegner",
author = "Michele Fornea and Xavier Guitart and Marc Masdeu",
note = "Funding Information: The article was completed while Fornea was a Simons Junior Fellow and Guitart was partially funded by project PID2019-107297GB-I00. Moreover, this work has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 682152). Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
month = sep,
day = "17",
doi = "10.1016/j.aim.2022.108484",
language = "English",
volume = "406",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}