Field theory for the function field of the quintic fermat curve |
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| Authors: | Kei Miura Hisao Yoshihara |
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| Affiliation: | 1. Graduate School of Science and Technology , Niigata University , Niigata, 950-2181, Japan E-mail: kmiura@scux. sc. niigata-u .ac.jp;2. Department of Mathematics, Faculty of Science , Niigata University , Niigata, 950-2181, Japan E-mail: yosihara@math.sc.niigata-u.ac.jp |
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| Abstract: | We study the structure of the function field K of the quintic Fermat curve F(5) in the following way: Let K m be a g-maximal rational subfield of K. Then the field extension K/K m is obtained by the projection from F(5) to a line with a center p, ∈ F(5). By using this fact, we consider the field extension K/K m from several point of view. |
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| Keywords: | Primary: 14H05 Secondary: 12F20 |
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