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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

SOME APPLICATIONS OF THE HALES-JEWETT THEOREM TO FIELD ARITHMETIC

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dc.contributor.authorIm, Bo-Haeko
dc.contributor.authorLarsen, Michaelko
dc.date.accessioned2016-10-04T02:57:50Z-
dc.date.available2016-10-04T02:57:50Z-
dc.date.created2016-09-07-
dc.date.created2016-09-07-
dc.date.created2016-09-07-
dc.date.issued2013-11-
dc.identifier.citationISRAEL JOURNAL OF MATHEMATICS, v.198, no.1, pp.35 - 47-
dc.identifier.issn0021-2172-
dc.identifier.urihttp://hdl.handle.net/10203/213001-
dc.description.abstractLet 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.languageEnglish-
dc.publisherHEBREW UNIV MAGNES PRESS-
dc.subjectMORDELL-WEIL GROUPS-
dc.subjectELLIPTIC-CURVES-
dc.subjectABELIAN-VARIETIES-
dc.subjectHEEGNER POINTS-
dc.subjectRANK-
dc.titleSOME APPLICATIONS OF THE HALES-JEWETT THEOREM TO FIELD ARITHMETIC-
dc.typeArticle-
dc.identifier.wosid000327509800002-
dc.identifier.scopusid2-s2.0-84883826603-
dc.type.rimsART-
dc.citation.volume198-
dc.citation.issue1-
dc.citation.beginningpage35-
dc.citation.endingpage47-
dc.citation.publicationnameISRAEL JOURNAL OF MATHEMATICS-
dc.identifier.doi10.1007/s11856-013-0009-8-
dc.contributor.localauthorIm, Bo-Hae-
dc.contributor.nonIdAuthorLarsen, Michael-
dc.type.journalArticleArticle-
dc.subject.keywordPlusMORDELL-WEIL GROUPS-
dc.subject.keywordPlusELLIPTIC-CURVES-
dc.subject.keywordPlusABELIAN-VARIETIES-
dc.subject.keywordPlusHEEGNER POINTS-
dc.subject.keywordPlusRANK-
dc.subject.keywordPlusMORDELL-WEIL GROUPS-
dc.subject.keywordPlusELLIPTIC-CURVES-
dc.subject.keywordPlusABELIAN-VARIETIES-
dc.subject.keywordPlusHEEGNER POINTS-
dc.subject.keywordPlusRANK-
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