The rank of elliptic curves with rational 2-torsion points over large fields
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Im, Bo-Hae | ko |
| dc.date.accessioned | 2016-09-08T00:53:49Z | - |
| dc.date.available | 2016-09-08T00:53:49Z | - |
| dc.date.created | 2016-09-07 | - |
| dc.date.created | 2016-09-07 | - |
| dc.date.issued | 2006 | - |
| dc.identifier.citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.134, no.6, pp.1623 - 1630 | - |
| dc.identifier.issn | 0002-9939 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/212955 | - |
| dc.description.abstract | Let K be a number field, K an algebraic closure of K, G(K) the absolute Galois group Gal(<(K)overbar >/K), K-ab the maximal abelian extension of K and E/K an elliptic curve defined over K. In this paper, we prove that if all 2-torsion points of E/K are K-rational, then for each sigma epsilon G(K), E((K-ab)(sigma)) has infinite rank, and hence E( K s) has infinite rank | - |
| dc.language | English | - |
| dc.publisher | AMER MATHEMATICAL SOC | - |
| dc.title | The rank of elliptic curves with rational 2-torsion points over large fields | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000237078300008 | - |
| dc.identifier.scopusid | 2-s2.0-33744735607 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 134 | - |
| dc.citation.issue | 6 | - |
| dc.citation.beginningpage | 1623 | - |
| dc.citation.endingpage | 1630 | - |
| dc.citation.publicationname | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
| dc.identifier.doi | 10.1090/S0002-9939-05-08494-7 | - |
| dc.contributor.localauthor | Im, Bo-Hae | - |
| dc.type.journalArticle | Article | - |
- Appears in Collection
- MA-Journal Papers(저널논문)
- Files in This Item
- There are no files associated with this item.
This item is cited by other documents in WoS
| ⊙ Detail Information in WoSⓡ | Click to see |  |
| ⊙ Cited 5 items in WoS | Click to see citing articles in |  |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.