DC Field | Value | Language |
---|---|---|
dc.contributor.author | Im, Bo-Hae | ko |
dc.contributor.author | Larsen, Michael | ko |
dc.date.accessioned | 2016-10-04T02:57:50Z | - |
dc.date.available | 2016-10-04T02:57:50Z | - |
dc.date.created | 2016-09-07 | - |
dc.date.created | 2016-09-07 | - |
dc.date.created | 2016-09-07 | - |
dc.date.issued | 2013-11 | - |
dc.identifier.citation | ISRAEL JOURNAL OF MATHEMATICS, v.198, no.1, pp.35 - 47 | - |
dc.identifier.issn | 0021-2172 | - |
dc.identifier.uri | http://hdl.handle.net/10203/213001 | - |
dc.description.abstract | Let K be a field whose absolute Galois group is finitely generated. If K neither finite nor of characteristic 2, then every hyperelliptic curve over K with all of its Weierstrass points defined over K has infinitely many K-points. If, in addition, K is not an algebraic extension of a finite field, then every elliptic curve over K with all of its 2-torsion rational has infinite rank over K. These and similar results are deduced from the Hales-Jewett theorem | - |
dc.language | English | - |
dc.publisher | HEBREW UNIV MAGNES PRESS | - |
dc.subject | MORDELL-WEIL GROUPS | - |
dc.subject | ELLIPTIC-CURVES | - |
dc.subject | ABELIAN-VARIETIES | - |
dc.subject | HEEGNER POINTS | - |
dc.subject | RANK | - |
dc.title | SOME APPLICATIONS OF THE HALES-JEWETT THEOREM TO FIELD ARITHMETIC | - |
dc.type | Article | - |
dc.identifier.wosid | 000327509800002 | - |
dc.identifier.scopusid | 2-s2.0-84883826603 | - |
dc.type.rims | ART | - |
dc.citation.volume | 198 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 35 | - |
dc.citation.endingpage | 47 | - |
dc.citation.publicationname | ISRAEL JOURNAL OF MATHEMATICS | - |
dc.identifier.doi | 10.1007/s11856-013-0009-8 | - |
dc.contributor.localauthor | Im, Bo-Hae | - |
dc.contributor.nonIdAuthor | Larsen, Michael | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | MORDELL-WEIL GROUPS | - |
dc.subject.keywordPlus | ELLIPTIC-CURVES | - |
dc.subject.keywordPlus | ABELIAN-VARIETIES | - |
dc.subject.keywordPlus | HEEGNER POINTS | - |
dc.subject.keywordPlus | RANK | - |
dc.subject.keywordPlus | MORDELL-WEIL GROUPS | - |
dc.subject.keywordPlus | ELLIPTIC-CURVES | - |
dc.subject.keywordPlus | ABELIAN-VARIETIES | - |
dc.subject.keywordPlus | HEEGNER POINTS | - |
dc.subject.keywordPlus | RANK | - |
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