Publication: On the Iwasawa theory of cm fields for supersingular primes
dc.contributor.department | Department of Mathematics | |
dc.contributor.kuauthor | Büyükboduk, Kazım | |
dc.contributor.schoolcollegeinstitute | College of Sciences | |
dc.date.accessioned | 2024-11-09T23:34:55Z | |
dc.date.issued | 2018 | |
dc.description.abstract | The 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.indexedby | WOS | |
dc.description.indexedby | Scopus | |
dc.description.issue | 2 | |
dc.description.openaccess | YES | |
dc.description.publisherscope | International | |
dc.description.sponsoredbyTubitakEu | N/A | |
dc.description.sponsorship | EC-FP7 [230668] | |
dc.description.sponsorship | TUBITAK[113F059] | |
dc.description.sponsorship | EU [CriticalGZ/745691] | |
dc.description.sponsorship | Turkish 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.volume | 370 | |
dc.identifier.doi | 10.1090/tran/7029 | |
dc.identifier.eissn | 1088-6850 | |
dc.identifier.issn | 0002-9947 | |
dc.identifier.quartile | Q1 | |
dc.identifier.scopus | 2-s2.0-85036532513 | |
dc.identifier.uri | https://doi.org/10.1090/tran/7029 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14288/12438 | |
dc.identifier.wos | 418123800006 | |
dc.keywords | Iwasawa theory | |
dc.keywords | Iwasawa's main conjectures | |
dc.keywords | Rubin-stark elements Adıc l-functıons | |
dc.keywords | Ellıptıc-curves | |
dc.keywords | Maın conjecture | |
dc.keywords | Kolyvagın systems | |
dc.keywords | Euler systems | |
dc.keywords | Stark unıts | |
dc.language.iso | eng | |
dc.publisher | American Mathematical Society (AMS) | |
dc.relation.ispartof | Transactions of The American Mathematical Society | |
dc.subject | Mathematics | |
dc.title | On the Iwasawa theory of cm fields for supersingular primes | |
dc.type | Journal Article | |
dspace.entity.type | Publication | |
local.contributor.kuauthor | Büyükboduk, Kazım | |
local.publication.orgunit1 | College of Sciences | |
local.publication.orgunit2 | Department of Mathematics | |
relation.isOrgUnitOfPublication | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
relation.isOrgUnitOfPublication.latestForDiscovery | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
relation.isParentOrgUnitOfPublication | af0395b0-7219-4165-a909-7016fa30932d | |
relation.isParentOrgUnitOfPublication.latestForDiscovery | af0395b0-7219-4165-a909-7016fa30932d |