Files

728112.pdf (510.16 KB)

Document type

Article

Version

Accepted version

Publication date

2022-09-17

Publication license

cc-by-nc-nd (c) Elsevier B.V., 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/193534

Plectic $p$-adic invariants

Journal Title

Authors

Director/Tutor

Additional contribution

Journal ISSN

Volume Title

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 Nekováŕ 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.

Related resource

https://doi.org/10.1016/j.aim.2022.108484

Subject

Teoria algebraica de nombres, Funcions L, Grups discontinus, Corbes el·líptiques

Subject (English)

Algebraic number theory, L-functions, Discontinuous groups, Elliptic curves

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

FORNEA, Michele, GUITART MORALES, Xavier and MASDEU, Marc. Plectic $p$-adic invariants. Advances in Mathematics. 2022. Vol. 406. ISSN 0001-8708. [consulted: 13 of October of 2026]. Available at: https://hdl.handle.net/2445/193534

Export metadata

JSON - METS

Share record