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Field theory for the function field of the quintic fermat curve

 

作者: Kei Miura,   Hisao Yoshihara,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 4  

页码: 1979-1988

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826940

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Primary: 14H05;Secondary: 12F20

 

数据来源: Taylor

 

摘要:

We study the structure of the function fieldKof the quintic Fermat curveF(5) in the following way: LetKmbe ag-maximal rational subfield ofK. Then the field extensionK/Kmis obtained by the projection fromF(5) to a line with a centerp, ∈F(5). By using this fact, we consider the field extensionK/Kmfrom several point of view.

 

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