DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jung, Ho Yun | ko |
dc.contributor.author | Koo, Ja-Kyung | ko |
dc.contributor.author | Shin, Dong Hwa | ko |
dc.contributor.author | Yoon, Dong Sung | ko |
dc.date.accessioned | 2022-04-24T01:00:36Z | - |
dc.date.available | 2022-04-24T01:00:36Z | - |
dc.date.created | 2022-01-21 | - |
dc.date.created | 2022-01-21 | - |
dc.date.created | 2022-01-21 | - |
dc.date.created | 2022-01-21 | - |
dc.date.created | 2022-01-21 | - |
dc.date.issued | 2022-04 | - |
dc.identifier.citation | MATHEMATIKA, v.68, no.2, pp.535 - 564 | - |
dc.identifier.issn | 0025-5793 | - |
dc.identifier.uri | http://hdl.handle.net/10203/295856 | - |
dc.description.abstract | Let K be an imaginary quadratic field of discriminant dK$d_K$ with ring of integers OK$\mathcal {O}_K$. When K is different from Q(-1)$\mathbb {Q}(\sqrt {-1})$ and Q(-3)$\mathbb {Q}(\sqrt {-3})$, we consider a specific elliptic curve EJK$E_{J_K}$ with j-invariant j(OK)$j(\mathcal {O}_K)$ which is defined over Q(j(OK))$\mathbb {Q}(j(\mathcal {O}_K))$. In this paper, for each positive integer N we compare the extension field of Q$\mathbb {Q}$ generated by the coordinates of N-torsion points on EJK$E_{J_K}$ with the ray class field K(N)$K_{(N)}$ of K modulo NOK$N\mathcal {O}_K$. By using this result, we investigate the image of the p-adic Galois representation attached to EJK$E_{J_K}$ for a prime p, in terms of class field theory. Second, we construct the definite form class group of discriminant dK$d_K$ and level N which is isomorphic to Gal(K(N)/Q)$\mathrm{Gal}(K_{(N)}/\mathbb {Q})$. | - |
dc.language | English | - |
dc.publisher | WILEY | - |
dc.title | On some p-adic Galois representations and form class groups | - |
dc.type | Article | - |
dc.identifier.wosid | 000782678200001 | - |
dc.identifier.scopusid | 2-s2.0-85128830559 | - |
dc.type.rims | ART | - |
dc.citation.volume | 68 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 535 | - |
dc.citation.endingpage | 564 | - |
dc.citation.publicationname | MATHEMATIKA | - |
dc.identifier.doi | 10.1112/mtk.12141 | - |
dc.contributor.localauthor | Koo, Ja-Kyung | - |
dc.contributor.nonIdAuthor | Jung, Ho Yun | - |
dc.contributor.nonIdAuthor | Shin, Dong Hwa | - |
dc.contributor.nonIdAuthor | Yoon, Dong Sung | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | PRIMITIVE FRICKE FAMILIES | - |
dc.subject.keywordPlus | CLASS FIELDS | - |
dc.subject.keywordPlus | TORSION | - |
dc.subject.keywordPlus | POINTS | - |
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