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dc.contributor.author | HOSHI, YUICHIRO | en |
dc.contributor.alternative | 星, 裕一郎 | ja |
dc.date.accessioned | 2011-10-31T02:12:18Z | - |
dc.date.available | 2011-10-31T02:12:18Z | - |
dc.date.issued | 2011 | - |
dc.identifier.issn | 0027-7630 | - |
dc.identifier.uri | http://hdl.handle.net/2433/148390 | - |
dc.description.abstract | 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. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Duke University Press | en |
dc.rights | © 2011 Duke University Press | en |
dc.title | GALOIS-THEORETIC CHARACTERIZATION OF ISOMORPHISM CLASSES OF MONODROMICALLY FULL HYPERBOLIC CURVES OF GENUS ZERO | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.ncid | AA00750899 | - |
dc.identifier.jtitle | Nagoya Mathematical Journal | en |
dc.identifier.volume | 203 | - |
dc.identifier.spage | 47 | - |
dc.identifier.epage | 100 | - |
dc.relation.doi | 10.1215/00277630-1331863 | - |
dc.textversion | publisher | - |
dc.relation.url | http://projecteuclid.org/euclid.nmj/1313682312 | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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