Publication:
On the Iwasawa theory of cm fields for supersingular primes

dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorBüyükboduk, Kazım
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T23:34:55Z
dc.date.issued2018
dc.description.abstractThe goal of this article is two-fold: First, to prove a (two-variable) main conjecture for a CM field F without assuming the p-ordinary hypothesis of Katz, making use of what we call the Rubin-Stark L-restricted Kolyvagin systems, which is constructed out of the conjectural Rubin-Stark Euler system of rank g. (We are also able to obtain weaker unconditional results in this direction.) The second objective is to prove the Park-Shahabi plus/minus main conjecture for a CM elliptic curve E defined over a general totally real field again using (a twist of the) Rubin-Stark Kolyvagin system. This latter result has consequences towards the Birch and Swinnerton-Dyer conjecture for E.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue2
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipEC-FP7 [230668]
dc.description.sponsorshipTUBITAK[113F059]
dc.description.sponsorshipEU [CriticalGZ/745691]
dc.description.sponsorshipTurkish Academy of Sciences This work was partially supported by Marie Curie IRG grant EC-FP7 230668, TUBITAKgrant 113F059, EU Horizon 2020 MC-GF Grant CriticalGZ/745691, and the Turkish Academy of Sciences.
dc.description.volume370
dc.identifier.doi10.1090/tran/7029
dc.identifier.eissn1088-6850
dc.identifier.issn0002-9947
dc.identifier.quartileQ1
dc.identifier.scopus2-s2.0-85036532513
dc.identifier.urihttps://doi.org/10.1090/tran/7029
dc.identifier.urihttps://hdl.handle.net/20.500.14288/12438
dc.identifier.wos418123800006
dc.keywordsIwasawa theory
dc.keywordsIwasawa's main conjectures
dc.keywordsRubin-stark elements Adıc l-functıons
dc.keywordsEllıptıc-curves
dc.keywordsMaın conjecture
dc.keywordsKolyvagın systems
dc.keywordsEuler systems
dc.keywordsStark unıts
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.ispartofTransactions of The American Mathematical Society
dc.subjectMathematics
dc.titleOn the Iwasawa theory of cm fields for supersingular primes
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorBüyükboduk, Kazım
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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