DC Field | Value | Language |
---|---|---|
dc.contributor.author | Castella, Francesc | ko |
dc.contributor.author | Grossi, Giada | ko |
dc.contributor.author | Lee, Jaehoon | ko |
dc.contributor.author | Skinner, Christopher | ko |
dc.date.accessioned | 2022-02-08T06:43:09Z | - |
dc.date.available | 2022-02-08T06:43:09Z | - |
dc.date.created | 2021-10-18 | - |
dc.date.created | 2021-10-18 | - |
dc.date.created | 2021-10-18 | - |
dc.date.issued | 2022-02 | - |
dc.identifier.citation | INVENTIONES MATHEMATICAE, v.227, no.2, pp.517 - 580 | - |
dc.identifier.issn | 0020-9910 | - |
dc.identifier.uri | http://hdl.handle.net/10203/292116 | - |
dc.description.abstract | Let E/Q be an elliptic curve and p an odd prime where E has good reduction, and assume that E admits a rational p-isogeny. In this paper we study the anticyclotomic Iwasawa theory of E over an imaginary quadratic field in which p splits, which we relate to the anticyclotomic Iwasawa theory of characters by a variation of the method of Greenberg-Vatsal. As a result of our study we obtain proofs (under relatively mild hypotheses) of PerrinRiou's Heegner point main conjecture, a p-converse to the theorem of GrossZagier and Kolyvagin, and the p-part of the Birch-Swinnerton-Dyer formula in analytic rank 1, for Eisenstein primes p. | - |
dc.language | English | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes | - |
dc.type | Article | - |
dc.identifier.wosid | 000704177300001 | - |
dc.identifier.scopusid | 2-s2.0-85116239550 | - |
dc.type.rims | ART | - |
dc.citation.volume | 227 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 517 | - |
dc.citation.endingpage | 580 | - |
dc.citation.publicationname | INVENTIONES MATHEMATICAE | - |
dc.identifier.doi | 10.1007/s00222-021-01072-y | - |
dc.contributor.localauthor | Lee, Jaehoon | - |
dc.contributor.nonIdAuthor | Castella, Francesc | - |
dc.contributor.nonIdAuthor | Grossi, Giada | - |
dc.contributor.nonIdAuthor | Skinner, Christopher | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | ADIC L-FUNCTIONS | - |
dc.subject.keywordPlus | GENERALIZED HEEGNER CYCLES | - |
dc.subject.keywordPlus | SWINNERTON-DYER FORMULA | - |
dc.subject.keywordPlus | ABELIAN-VARIETIES | - |
dc.subject.keywordPlus | SELMER GROUPS | - |
dc.subject.keywordPlus | POINTS | - |
dc.subject.keywordPlus | ZAGIER | - |
dc.subject.keywordPlus | BIRCH | - |
dc.subject.keywordPlus | GROSS | - |
dc.subject.keywordPlus | CONJECTURES | - |
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