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기하학수리물리연구단
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The action of the hecke operators on the component groups of modular jacobian varieties

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dc.contributor.authorTAEKYUNG KIM-
dc.contributor.authorHWAJONG YOO-
dc.date.available2018-12-13T10:45:45Z-
dc.date.created2018-08-17-
dc.date.issued2018-08-
dc.identifier.issn0030-8730-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/4939-
dc.description.abstractFor a prime number q≥5 and a positive integer N prime to q, Ribet proved the action of the Hecke algebra on the component group of the Jacobian variety of the modular curve of level Nq at q is Eisenstein, which means the Hecke operator Tℓ acts by ℓ C 1 when ℓ is a prime number not dividing the level. We completely compute the action of the Hecke algebra on this component group by a careful study of supersingular points with extra automorphisms. © 2018 Mathematical Sciences Publishers-
dc.description.uri1-
dc.language영어-
dc.publisherPACIFIC JOURNAL MATHEMATICS-
dc.subjectComponent group-
dc.subjectHecke action-
dc.subjectHecke operators-
dc.subjectModular Jacobian varieties-
dc.titleThe action of the hecke operators on the component groups of modular jacobian varieties-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000439476700005-
dc.identifier.scopusid2-s2.0-85050338136-
dc.identifier.rimsid64476-
dc.contributor.affiliatedAuthorTAEKYUNG KIM-
dc.contributor.affiliatedAuthorHWAJONG YOO-
dc.identifier.doi10.2140/pjm.2018.296.341-
dc.identifier.bibliographicCitationPACIFIC JOURNAL OF MATHEMATICS, v.296, no.2, pp.341 - 355-
dc.citation.titlePACIFIC JOURNAL OF MATHEMATICS-
dc.citation.volume296-
dc.citation.number2-
dc.citation.startPage341-
dc.citation.endPage355-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.subject.keywordAuthorComponent group-
dc.subject.keywordAuthorHecke action-
dc.subject.keywordAuthorHecke operators-
dc.subject.keywordAuthorModular Jacobian varieties-
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Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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