DC Field | Value | Language |
---|---|---|
dc.contributor.author | Im, Bo-Hae | ko |
dc.contributor.author | Lozano-Robledo, Alvaro | ko |
dc.date.accessioned | 2016-10-04T02:59:16Z | - |
dc.date.available | 2016-10-04T02:59:16Z | - |
dc.date.created | 2016-09-07 | - |
dc.date.created | 2016-09-07 | - |
dc.date.issued | 2009-02 | - |
dc.identifier.citation | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v.79, pp.1 - 14 | - |
dc.identifier.issn | 0024-6107 | - |
dc.identifier.uri | http://hdl.handle.net/10203/213015 | - |
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.language | English | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.subject | MORDELL-WEIL GROUPS | - |
dc.subject | POINTS | - |
dc.title | On products of quadratic twists and ranks of elliptic curves over large fields | - |
dc.type | Article | - |
dc.identifier.wosid | 000264655100001 | - |
dc.identifier.scopusid | 2-s2.0-58449133614 | - |
dc.type.rims | ART | - |
dc.citation.volume | 79 | - |
dc.citation.beginningpage | 1 | - |
dc.citation.endingpage | 14 | - |
dc.citation.publicationname | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | - |
dc.identifier.doi | 10.1112/jlms/jdn048 | - |
dc.contributor.localauthor | Im, Bo-Hae | - |
dc.contributor.nonIdAuthor | Lozano-Robledo, Alvaro | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | MORDELL-WEIL GROUPS | - |
dc.subject.keywordPlus | POINTS | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.