Explicit Class Field Theory for Kummer Extensions

碩士 === 國立臺灣師範大學 === 數學系 === 96 === In this thesis, we first introduce some known results. Then we define a pairing and use the known results to discuss properties of this pairing. Finally, we use this pairing to discuss local class field theory for Kummer extension without employing the classical lo...

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Main Author: 莊子平
Other Authors: 紀文鎮
Format: Others
Language:zh-TW
Published: 2008
Online Access:http://ndltd.ncl.edu.tw/handle/685d2x
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spelling ndltd-TW-096NTNU54790272019-05-15T19:49:44Z http://ndltd.ncl.edu.tw/handle/685d2x Explicit Class Field Theory for Kummer Extensions 莊子平 碩士 國立臺灣師範大學 數學系 96 In this thesis, we first introduce some known results. Then we define a pairing and use the known results to discuss properties of this pairing. Finally, we use this pairing to discuss local class field theory for Kummer extension without employing the classical local class field theory. 紀文鎮 2008 學位論文 ; thesis 20 zh-TW
collection NDLTD
language zh-TW
format Others
sources NDLTD
description 碩士 === 國立臺灣師範大學 === 數學系 === 96 === In this thesis, we first introduce some known results. Then we define a pairing and use the known results to discuss properties of this pairing. Finally, we use this pairing to discuss local class field theory for Kummer extension without employing the classical local class field theory.
author2 紀文鎮
author_facet 紀文鎮
莊子平
author 莊子平
spellingShingle 莊子平
Explicit Class Field Theory for Kummer Extensions
author_sort 莊子平
title Explicit Class Field Theory for Kummer Extensions
title_short Explicit Class Field Theory for Kummer Extensions
title_full Explicit Class Field Theory for Kummer Extensions
title_fullStr Explicit Class Field Theory for Kummer Extensions
title_full_unstemmed Explicit Class Field Theory for Kummer Extensions
title_sort explicit class field theory for kummer extensions
publishDate 2008
url http://ndltd.ncl.edu.tw/handle/685d2x
work_keys_str_mv AT zhuāngzipíng explicitclassfieldtheoryforkummerextensions
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