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On rational Eisenstein primes and the rational cuspidal groups of modular Jacobian varieties
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yoo, Hwajong | - |
dc.creator | 유화종 | - |
dc.date.accessioned | 2020-01-23T07:29:30Z | - |
dc.date.available | 2020-04-05T07:29:30Z | - |
dc.date.created | 2019-09-27 | - |
dc.date.issued | 2019-08 | - |
dc.identifier.citation | Transactions of the American Mathematical Society, Vol.372 No.4, pp.2429-2466 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | https://hdl.handle.net/10371/163711 | - |
dc.description.abstract | Let N be a non-squarefree positive integer and let l be an odd prime such that l(2) does not divide N. Consider the Hecke ring T(N) of weight 2 for Gamma(0)(N) and its rational Eisenstein primes of T(N) containing l. If m is such a rational Eisenstein prime, then we prove that m is of the form (l, I-M,N(D)), where we also define the ideal I-M,N(D) of T(N). Furthermore, we prove that C(N)[m] not equal 0, where C(N) is the rational cuspidal group of J(0)(N). To do this, we compute the precise order of the cuspidal divisor C-M,N(D) and the index of I-M,N(D) in T(N) circle times Z(l). | - |
dc.language | 영어 | - |
dc.language.iso | ENG | en |
dc.publisher | American Mathematical Society | - |
dc.title | On rational Eisenstein primes and the rational cuspidal groups of modular Jacobian varieties | - |
dc.type | Article | - |
dc.identifier.doi | 10.1090/tran/7645 | - |
dc.citation.journaltitle | Transactions of the American Mathematical Society | - |
dc.identifier.wosid | 000478938400007 | - |
dc.identifier.scopusid | 2-s2.0-85075164335 | - |
dc.description.srnd | OAIID:RECH_ACHV_DSTSH_NO:T201911103 | - |
dc.description.srnd | RECH_ACHV_FG:RR00200001 | - |
dc.description.srnd | ADJUST_YN: | - |
dc.description.srnd | EMP_ID:A080811 | - |
dc.description.srnd | CITE_RATE:1.318 | - |
dc.description.srnd | DEPT_NM:자유전공학부 | - |
dc.description.srnd | EMAIL:hwajong@snu.ac.kr | - |
dc.description.srnd | SCOPUS_YN:Y | - |
dc.citation.endpage | 2466 | - |
dc.citation.number | 4 | - |
dc.citation.startpage | 2429 | - |
dc.citation.volume | 372 | - |
dc.description.isOpenAccess | Y | - |
dc.contributor.affiliatedAuthor | Yoo, Hwajong | - |
dc.identifier.srnd | T201911103 | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.subject.keywordPlus | IDEALS | - |
dc.subject.keywordAuthor | Cuspidal group | - |
dc.subject.keywordAuthor | Eisenstein ideals | - |
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