Plectic $p$-adic invariants

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dc.contributor.authorFornea, Michele
dc.contributor.authorGuitart Morales, Xavier
dc.contributor.authorMasdeu, Marc
dc.date.accessioned2023-02-13T16:58:29Z
dc.date.available2024-09-17T05:10:07Z
dc.date.issued2022-09-17
dc.date.updated2023-02-13T16:58:29Z
dc.description.abstractFor 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.mimetypeapplication/pdf
dc.identifier.idgrec728112
dc.identifier.issn0001-8708
dc.identifier.urihttps://hdl.handle.net/2445/193534
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1016/j.aim.2022.108484
dc.relation.ispartofAdvances in Mathematics, 2022, vol. 406
dc.relation.urihttps://doi.org/10.1016/j.aim.2022.108484
dc.rightscc-by-nc-nd (c) Elsevier B.V., 2022
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationTeoria algebraica de nombres
dc.subject.classificationFuncions L
dc.subject.classificationGrups discontinus
dc.subject.classificationCorbes el·líptiques
dc.subject.otherAlgebraic number theory
dc.subject.otherL-functions
dc.subject.otherDiscontinuous groups
dc.subject.otherElliptic curves
dc.titlePlectic $p$-adic invariants
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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