DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, So Young | ko |
dc.contributor.author | Koo, JaKyung | ko |
dc.date.accessioned | 2013-03-07T03:53:51Z | - |
dc.date.available | 2013-03-07T03:53:51Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2008-01 | - |
dc.identifier.citation | RAMANUJAN JOURNAL, v.15, pp.1 - 17 | - |
dc.identifier.issn | 1382-4090 | - |
dc.identifier.uri | http://hdl.handle.net/10203/89338 | - |
dc.description.abstract | For any element gamma is an element of Gamma(0) (N) and a positive integer N, we find the genus of arithmetic curve [Gamma(1)(N), gamma Phi]\h*, where Phi = (0 -1 N 0) is the Fricke involution. We obtain that the genus of [Gamma(1)(N), gamma Phi]\h*, is zero if and only if 1 <= N <= 12 or N = 14, 15. As its applications, since the genus formula is independent of gamma, we determine the Hauptmoduln for the groups [Gamma(1) (N), Phi]of genus zero which will be used to generate appropriate ray class fields over imaginary quadratic fields, and show that the fixed point of gamma Phi in h is a Weierstrass point of for all but finitely many N, which is a direct generalization of Lehner-Newman's use of Schoeneberg's Theorem. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.title | Estimation of genus of arithmetic curves and applications | - |
dc.type | Article | - |
dc.identifier.wosid | 000252421800001 | - |
dc.identifier.scopusid | 2-s2.0-38349063486 | - |
dc.type.rims | ART | - |
dc.citation.volume | 15 | - |
dc.citation.beginningpage | 1 | - |
dc.citation.endingpage | 17 | - |
dc.citation.publicationname | RAMANUJAN JOURNAL | - |
dc.identifier.doi | 10.1007/s11139-007-9063-3 | - |
dc.contributor.localauthor | Koo, JaKyung | - |
dc.contributor.nonIdAuthor | Choi, So Young | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | modular function | - |
dc.subject.keywordAuthor | weierstrass point | - |
dc.subject.keywordAuthor | genus | - |
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