dc.contributor.author
Fornea, Michele
dc.contributor.author
Guitart Morales, Xavier
dc.contributor.author
Masdeu, Marc
dc.date.issued
2023-02-13T16:58:29Z
dc.date.issued
2024-09-17T05:10:07Z
dc.date.issued
2022-09-17
dc.date.issued
2023-02-13T16:58:29Z
dc.identifier
https://hdl.handle.net/2445/193534
dc.description.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.
dc.format
application/pdf
dc.format
application/pdf
dc.publisher
Elsevier B.V.
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1016/j.aim.2022.108484
dc.relation
Advances in Mathematics, 2022, vol. 406
dc.relation
https://doi.org/10.1016/j.aim.2022.108484
dc.rights
cc-by-nc-nd (c) Elsevier B.V., 2022
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Teoria algebraica de nombres
dc.subject
Grups discontinus
dc.subject
Corbes el·líptiques
dc.subject
Algebraic number theory
dc.subject
Discontinuous groups
dc.subject
Elliptic curves
dc.title
Plectic $p$-adic invariants
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
