Publication:
Main conjectures for CM fields and a Yager-type theorem for Rubin-Stark elements

dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorBüyükboduk, Kazım
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T13:08:53Z
dc.date.issued2014
dc.description.abstractIn this article, we study the p-ordinary Iwasawa theory of the (conjectural) Rubin–Stark elements defined over abelian extensions of a CM field F and develop a rank-g Euler–Kolyvagin system machinery (where Graphic), refining and generalizing Perrin-Riou's theory and the author's prior work. This has several important arithmetic consequences: using the recent results of Hida and Hsieh on the CM main conjectures, we prove a natural extension of a theorem of Yager for the CM field F, where we relate the Rubin–Stark elements to the several-variable Katz p-adic L-function. Furthermore, beyond the cases covered by Hida and Hsieh, we are able to reduce the p-ordinary CM main conjectures to a local statement about the Rubin–Stark elements. We discuss applications of our results in the arithmetic of CM abelian varieties.
dc.description.fulltextYES
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue21
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuEU - TÜBİTAK
dc.description.sponsorshipEuropean Commission (EC)
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK)
dc.description.sponsorshipTurkish Academy of Sciences
dc.description.sponsorshipFONDECYT
dc.description.versionAuthor's final manuscript
dc.description.volume2014
dc.identifier.doi10.1093/imrn/rnt140
dc.identifier.eissn1073-7928
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00329
dc.identifier.issn1687-0247
dc.identifier.quartileN/A
dc.identifier.scopus2-s2.0-84911126773
dc.identifier.urihttps://doi.org/10.1093/imrn/rnt140
dc.identifier.wos344399800002
dc.keywordsRubin-Stark elements
dc.keywordsCM abelian varieties
dc.keywordsCM Main conjectures
dc.language.isoeng
dc.publisherOxford University Press (OUP)
dc.relation.grantno230668
dc.relation.ispartofInternational Mathematics Research Notices
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1352
dc.subjectMathematics
dc.titleMain conjectures for CM fields and a Yager-type theorem for Rubin-Stark elements
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorBüyükboduk, Kazım
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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