DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Bae, Sung-Han | - |
dc.contributor.advisor | 배성한 | - |
dc.contributor.author | Jeon, Dae-Yeol | - |
dc.contributor.author | 전대열 | - |
dc.date.accessioned | 2011-12-14T04:39:17Z | - |
dc.date.available | 2011-12-14T04:39:17Z | - |
dc.date.issued | 2001 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=169529&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/41839 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 수학전공, 2001.2, [ [ii], 45 p. ] | - |
dc.description.abstract | In this paper, we study on the minimal models of Drinfeld module of rank 2. Let F be a separable extension of k = $F_q(T).$ In the first, we show that if the class number $h(O_F)$ is greater than 1, then there exists a Drinfeld module over F which does not have a global minimal model over F. Let K be a imaginary quadratic extension of k and H be the Hilbert class field of $Ο_k$. Let φ be a Drinfeld module defined over H of rank 2 with complex multiplication by $Ο_k$. We prove that if q is odd and p(T) is a monic irreducible element in $F_q[T]$ of degree prime to q-1, then there exists a unique k-module which has a global minimal model over k(j(φ)). | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Drinfeld module | - |
dc.subject | Minimal model | - |
dc.subject | 최소 모형 | - |
dc.subject | 드린펠트 가군 | - |
dc.title | Minimal models for drinfeld modules of rank 2 with complex multiplication | - |
dc.title.alternative | 복소곱을 갖는 계수 2인 드린펠트 모듈의 최소 모형 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 169529/325007 | - |
dc.description.department | 한국과학기술원 : 수학전공, | - |
dc.identifier.uid | 000955334 | - |
dc.contributor.localauthor | Bae, Sung-Han | - |
dc.contributor.localauthor | 배성한 | - |
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