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dc.contributor.authorDelbourgo, Danielen_NZ
dc.contributor.authorLei, Antonioen_NZ
dc.date.accessioned2019-01-13T19:53:06Z
dc.date.available2017-05-01en_NZ
dc.date.available2019-01-13T19:53:06Z
dc.date.issued2017en_NZ
dc.identifier.citationDelbourgo, D., & Lei, A. (2017). Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions. Ramanujan Journal, 43(1), 29–68. https://doi.org/10.1007/s11139-016-9785-1en
dc.identifier.issn1382-4090en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/12260
dc.description.abstractLet E/Q be an elliptic curve, p > 3 a good ordinary prime for E, and K∞ a p-adic Lie extension of a number field k. Under some standard hypotheses, we study the asymptotic growth in both the Mordell–Weil rank and Shafarevich–Tate group for E over a tower of extensions K ₙ/ₖ inside K∞; we obtain lower bounds on the former, and upper bounds on the latter’s size.
dc.format.mimetypeapplication/pdf
dc.language.isoenen_NZ
dc.publisherSpringeren_NZ
dc.rightsThis is an author’s accepted version of an article published in the journal: The Ramanujan Journal. © Springer Science+Business Media New York 2016.
dc.subjectScience & Technologyen_NZ
dc.subjectPhysical Sciencesen_NZ
dc.subjectMathematicsen_NZ
dc.subjectElliptic curvesen_NZ
dc.subjectMordell-Weil ranksen_NZ
dc.subjectNoncommutative Iwasawa theoryen_NZ
dc.subjectNONCOMMUTATIVE IWASAWA THEORYen_NZ
dc.subjectELLIPTIC-CURVESen_NZ
dc.subjectSELMER GROUPSen_NZ
dc.subjectABELIAN-VARIETIESen_NZ
dc.subjectROOT NUMBERSen_NZ
dc.subjectDESCENTen_NZ
dc.titleEstimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensionsen_NZ
dc.typeJournal Article
dc.identifier.doi10.1007/s11139-016-9785-1en_NZ
dc.relation.isPartOfRamanujan Journalen_NZ
pubs.begin-page29
pubs.elements-id137393
pubs.end-page68
pubs.issue1en_NZ
pubs.publication-statusPublisheden_NZ
pubs.volume43en_NZ
dc.identifier.eissn1572-9303en_NZ


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