DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Bae, Sung-Han | - |
dc.contributor.advisor | 배성한 | - |
dc.contributor.author | Ahn, Jhe-Hyun | - |
dc.contributor.author | 안재현 | - |
dc.date.accessioned | 2011-12-14T05:00:23Z | - |
dc.date.available | 2011-12-14T05:00:23Z | - |
dc.date.issued | 1997 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=112763&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42445 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수학과, 1997.2, [ [ii], 15 p. ; ] | - |
dc.description.abstract | Let $k$ be a global function field with a fixed prime divisor $\infty$. Let $A$ be the ring of integers outside $\infty$. Using the theory of cyclotomic function fields of rational function fields, F. Schultheis has defined the Calritz-Kummer extensions and computed the factorization of primes in these extensions. In this paper we generalize the work of Schultheis over global function fields. Let $K$ be a finite extension of "cyclotomic" function field $H_{\frak e}^*(\Lambda_\frak m)$. First, We define $Drinfeld$-$Kummer$ extension $K_{\frak m, z}$ over $K$, using a $sgn$-normalized rank 1 Drinfeld $A$-module. And we compute the factorization of primes of $K$ in Drinfeld-Kummer extension $K_{\frak m, z}$. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Function fields | - |
dc.subject | Kummer extensions | - |
dc.subject | 쿰머 확대체 | - |
dc.subject | 함수체 | - |
dc.title | Function field analogue of kummer extensions | - |
dc.title.alternative | 함수체 위에서의 쿰머 확대체 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 112763/325007 | - |
dc.description.department | 한국과학기술원 : 수학과, | - |
dc.identifier.uid | 000953332 | - |
dc.contributor.localauthor | Bae, Sung-Han | - |
dc.contributor.localauthor | 배성한 | - |
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