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タイトル: | GALOIS-THEORETIC CHARACTERIZATION OF ISOMORPHISM CLASSES OF MONODROMICALLY FULL HYPERBOLIC CURVES OF GENUS ZERO |
著者: | HOSHI, YUICHIRO |
著者名の別形: | 星, 裕一郎 |
発行日: | 2011 |
出版者: | Duke University Press |
誌名: | Nagoya Mathematical Journal |
巻: | 203 |
開始ページ: | 47 |
終了ページ: | 100 |
抄録: | Let l be a prime number. In the present paper, we prove that the isomorphism class of an l-monodromically full hy-perbolic curve of genus zero over a finitely generated extension of the field of rational numbers is completely determined by the kernel of the natural pro-l outer Galois representation associated to the hyperbolic curve. This result can be regarded as a genus zero analogue of a result due to S. Mochizuki which asserts that the isomorphism class of an elliptic curve which does not admit complex multiplication over a number field is completely determined by the kernels of the natural Galois representations on the various finite quotients of its Tate module. |
著作権等: | © 2011 Duke University Press |
URI: | http://hdl.handle.net/2433/148390 |
DOI(出版社版): | 10.1215/00277630-1331863 |
関連リンク: | http://projecteuclid.org/euclid.nmj/1313682312 |
出現コレクション: | 学術雑誌掲載論文等 |
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