Weierstrass points on certain modular groups
DC Field | Value | Language |
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dc.contributor.author | Im, Bo-Hae | - |
dc.contributor.author | Jeon, Daeyeol | - |
dc.contributor.author | Kim, Chang Heon | - |
dc.date.accessioned | 2023-03-08T17:51:03Z | - |
dc.date.available | 2023-03-08T17:51:03Z | - |
dc.date.issued | 2016-03 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.issn | 1096-1658 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/64299 | - |
dc.description.abstract | We investigate Weierstrass points of the modular curve X-Delta(N) of genus >= 2 when Delta is a proper subgroup of (Z/NZ)*. Let N = p(2)M where p is a prime number and M is a positive integer. Modifying Atkin's method in the case +/-(1 + pM) is an element of A, we find conditions for the cusp 0 to be a Weierstrass point on the modular curve X-Delta(p(2)M). Moreover, applying Schoneberg's theorem we show that except for finitely many N, the fixed points of the Fricke involutions W-N are Weierstrass points on X-Delta(N). (C) 2015 Elsevier Inc. All rights reserved. | - |
dc.format.extent | 17 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Weierstrass points on certain modular groups | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.jnt.2015.09.018 | - |
dc.identifier.bibliographicCitation | JOURNAL OF NUMBER THEORY, v.160, pp 586 - 602 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000365928300031 | - |
dc.identifier.scopusid | 2-s2.0-84946762437 | - |
dc.citation.endPage | 602 | - |
dc.citation.startPage | 586 | - |
dc.citation.title | JOURNAL OF NUMBER THEORY | - |
dc.citation.volume | 160 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.subject.keywordAuthor | Weierstrass points | - |
dc.subject.keywordAuthor | Modular curves | - |
dc.subject.keywordPlus | CUSPS | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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