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dc.contributor.authorSaïdi, M
dc.date.accessioned2019-12-02T11:25:46Z
dc.date.issued2019-07-25
dc.description.abstractIn this paper, which is a sequel to [7], we investigate the theory of cuspidalisation of sections of arithmetic fundamental groups of hyperbolic curves to cuspidally i-th and 2/p-th step prosolvable arithmetic fundamental groups. As a consequence we exhibit two, necessary and sufficient, conditions for sections of arithmetic fundamental groups of hyperbolic curves over p-adic local fields to arise from rational points. We also exhibit a class of sections of arithmetic fundamental groups of p-adic curves which are orthogonal to Pic∧, and which satisfy (unconditionally) one of the above conditions.en_GB
dc.identifier.citationVol. 354: ven_GB
dc.identifier.doi10.1016/j.aim.2019.106737
dc.identifier.urihttp://hdl.handle.net/10871/39903
dc.language.isoenen_GB
dc.publisherElsevieren_GB
dc.rights.embargoreasonUnder embargo until 25 July 2020 in compliance with publisher policy.en_GB
dc.rights© 2019. This version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ en_GB
dc.subjectSections of arithmeticen_GB
dc.subjectfundamental groupsen_GB
dc.subjectCuspidalisationen_GB
dc.titleThe cuspidalisation of sections of arithmetic fundamental groups IIen_GB
dc.typeArticleen_GB
dc.date.available2019-12-02T11:25:46Z
dc.identifier.issn0001-8708
dc.descriptionThis is the author accepted manuscript. The final version is available from the publisher via the DOI in this recorden_GB
dc.identifier.journalAdvances in Mathematicsen_GB
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en_GB
dcterms.dateAccepted2019-07-15
rioxxterms.versionAMen_GB
rioxxterms.licenseref.startdate2019-07-25
rioxxterms.typeJournal Article/Reviewen_GB
refterms.dateFCD2019-12-02T11:22:30Z
refterms.versionFCDAM
refterms.panelBen_GB


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© 2019. This version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ 
Except where otherwise noted, this item's licence is described as © 2019. This version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/