On products of quadratic twists and ranks of elliptic curves over large fields
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Im, Bo-Hae | - |
dc.contributor.author | Lozano-Robledo, Alvaro | - |
dc.date.accessioned | 2023-03-09T00:07:57Z | - |
dc.date.available | 2023-03-09T00:07:57Z | - |
dc.date.issued | 2009-02 | - |
dc.identifier.issn | 0024-6107 | - |
dc.identifier.issn | 1469-7750 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/65293 | - |
dc.description.abstract | In this paper, we give examples of elliptic curves E/K over a number field K satisfying the property that there exist P-1, P-2 is an element of K[t] such that the twists E-P1, E-P2 and E-P1P2 are of positive rank over K(t). As a consequence of this result on twists, we show that for those elliptic curves E/K, and for each sigma is an element of Gal((K) over bar /K), the rank of E over the fixed field (K-ab)(sigma) under sigma is infinite, where K-ab is the maximal abelian extension of K. | - |
dc.format.extent | 14 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | WILEY | - |
dc.title | On products of quadratic twists and ranks of elliptic curves over large fields | - |
dc.type | Article | - |
dc.identifier.doi | 10.1112/jlms/jdn048 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v.79, no.1, pp 1 - 14 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000264655100001 | - |
dc.identifier.scopusid | 2-s2.0-58449133614 | - |
dc.citation.endPage | 14 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 1 | - |
dc.citation.title | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | - |
dc.citation.volume | 79 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.subject.keywordPlus | MORDELL-WEIL GROUPS | - |
dc.subject.keywordPlus | POINTS | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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