ID | 47192 |
フルテキストURL | |
著者 |
Moon, Hyunsuk
Department of Mathematics, College of Natural Sciences Kyungpook National University
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抄録 | Let A be an abelian variety defined over a number field K. It is proved that for the composite field Kn of all Galois extensions over K of degree dividing n, the torsion subgroup of the Mordell-Weil group A(Kn) is finite. This is a variant of Ribet’s result ([7]) on the finiteness of torsion subgroup of A(K(ζ∞)). It is also proved that for the Jacobians of superelliptic curves yn = f(x) defined over K the Mordell-Weil group over the field generated by all nth roots of elements of K is the direct sum of a finite torsion group and a free ℤ-module of infinite rank.
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キーワード | Mordell-Weil group
Jacobian
superelliptic curve
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発行日 | 2012-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 54巻
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号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 49
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終了ページ | 52
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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言語 |
英語
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著作権者 | Copyright©2012 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol54/iss1/3
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JaLCDOI |