検索結果 6 件
デジタル記事
インターネットで読める全国の図書館
- 件名abelian variety Galois representation $p$-adic Lie group
- 関連情報Publications of the Research Institute for Mathematical Sciences || 45(4) || p1011-1031 http://www.math.kyushu-u.ac.jp/
- 掲載誌Kyushu University Preprint Series in Mathematics ; 2008-5
デジタル記事
インターネットで読める全国の図書館
- 要約等Let $A$ be an abelian variety over a $p$-adic field $K$ and $L$ an algebraic infinite extension over $K$. We consider the finiteness of the torsion part of the group of rational points $A(L)$ under some assumptions. In 1975, Hideo Imai proved that such a group is finite if $A$ has good reduction and $L$ is the cyclotomic $mathbb{Z}_p$-extension of $K$. In this paper, first we show a generalization of Imai's result in the case where $A$ has good ordinary reduction. N...... we give some finiteness results when $A$ is an elliptic curve and $L$ is the field generated by the $p$-th power torsion of an elliptic curve.
- 件名abelian variety Galois representation $p$-adic Lie group
- 出版者（掲載誌）Research Institute for Mathematical Sciences
デジタル記事
全国の図書館
- 件名General Mathematics
- 参照A generalization of a theorem of Imai and its applications to Iwasawa theory ON THE VANISHING OF COHOMOLOGIES OF <i>p</i>-ADIC GALOIS REPRESENTATIONS ASSOCIATED WITH ELLIPTIC CURVES
- 著者標目Yoshiyasu Ozeki
デジタル記事
インターネットで読める全国の図書館
- 要約等Let A be an abelian variety over a p-adic field K and L an algebraic infinite extension over K. We consider the finiteness of the torsion part of the group of rational points A(L) under some assumptions. In 1975, Hideo Imai proved that such a group is finite if A has good reduction and L is the cyc...... Z_p-extension of K. In this paper, first we show a generalization of Imai's result in the case where A has ordinary good reducti...... we give some finiteness results when A is an elliptic curve and L is the field generated by the p-power torsion of an elliptic curve. MI: Global COE Program Education-and-Research Hub for Math...
- 出版者（掲載誌）Faculty of Mathematics, Kyushu University
デジタル記事
インターネットで読める全国の図書館
- 一般注記MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry グローバルCOEプログラム「マス･フォア･イン...
- 関連情報MI Preprint Series || 2008-5 || p1-17 http://www.math.kyushu-u.ac.jp/
検索結果は以上です。