DC Field | Value | Language |
---|---|---|
dc.contributor.author | Breuer, Florian | ko |
dc.contributor.author | Im, Bo-Hae | ko |
dc.date.accessioned | 2016-10-04T02:59:30Z | - |
dc.date.available | 2016-10-04T02:59:30Z | - |
dc.date.created | 2016-09-07 | - |
dc.date.created | 2016-09-07 | - |
dc.date.issued | 2008-06 | - |
dc.identifier.citation | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v.60, no.3, pp.481 - 490 | - |
dc.identifier.issn | 0008-414X | - |
dc.identifier.uri | http://hdl.handle.net/10203/213017 | - |
dc.description.abstract | Let k be a global field, (k) over bar a separable closure of k, and G(k) the absolute Galois group Gal((k) over bar /k) of k over k. For every sigma is an element of G(k), let (k) over bar (sigma) be the fixed subfield of (k) over bar under sigma. Let E/k be ail elliptic curve over k. It is known that the Mordell-Weil group E((k) over bar (sigma)) has infinite rank. We present a new proof of this fact in the following two cases. First, when k is a global function field of odd characteristic and E is parametrized by a Drinfeld modular curve, and secondly when k is a totally real number field and Elk is parametrized by a Shimura curve. In both cases our approach uses the non-triviality of a sequence of Heegner points on E defined over ring class fields | - |
dc.language | English | - |
dc.publisher | CANADIAN MATHEMATICAL SOC | - |
dc.subject | MORDELL-WEIL GROUPS | - |
dc.subject | ABELIAN-VARIETIES | - |
dc.title | Heegner points and the rank of elliptic curves over large extensions of global fields | - |
dc.type | Article | - |
dc.identifier.wosid | 000256287900001 | - |
dc.identifier.scopusid | 2-s2.0-45849123899 | - |
dc.type.rims | ART | - |
dc.citation.volume | 60 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 481 | - |
dc.citation.endingpage | 490 | - |
dc.citation.publicationname | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | - |
dc.identifier.doi | 10.4153/CJM-2008-023-0 | - |
dc.contributor.localauthor | Im, Bo-Hae | - |
dc.contributor.nonIdAuthor | Breuer, Florian | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | MORDELL-WEIL GROUPS | - |
dc.subject.keywordPlus | ABELIAN-VARIETIES | - |
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