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Overconvergent cohomology and quaternionic Darmon points.

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dc.contributor.authorGuitart Morales, Xavier
dc.contributor.authorMasdeu, Marc
dc.date.accessioned2023-03-14T17:21:57Z
dc.date.available2023-03-14T17:21:57Z
dc.date.issued2014-07-26
dc.date.updated2023-03-14T17:21:57Z
dc.description.abstractWe develop the (co)homological tools that make effective the construction of the quaternionic Darmon points introduced by Matthew Greenberg. In addition, we use the overconvergent cohomology techniques of Pollack-Pollack to allow for the efficient calculation of such points. Finally, we provide the first numerical evidence supporting the conjectures on their rationality.
dc.format.extent30 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec650048
dc.identifier.issn0024-6107
dc.identifier.urihttps://hdl.handle.net/2445/195264
dc.language.isoeng
dc.publisherLondon Mathematical Society
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1112/jlms/jdu036
dc.relation.ispartofJournal of the London Mathematical Society-Second Series, 2014, vol. 90, num. 2, p. 495-524
dc.relation.urihttps://doi.org/10.1112/jlms/jdu036
dc.rights(c) London Mathematical Society, 2014
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationTeoria de nombres
dc.subject.classificationFormes automorfes
dc.subject.classificationGrups modulars
dc.subject.classificationGeometria algebraica aritmètica
dc.subject.otherNumber theory
dc.subject.otherAutomorphic forms
dc.subject.otherModular groups
dc.subject.otherArithmetical algebraic geometry
dc.titleOverconvergent cohomology and quaternionic Darmon points.
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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