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| 一类曲线的定义域（英文） | |
| 作者姓名： | 周贇 |
| 作者单位： | 中科院研究生院 |
| 摘 要： | |
Fields of definition of a family of curves |
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| Authors: | ZHOU Yun |
| Institution: | Graduate University of Chinese Academy of Sciences |
| Abstract: | Let K be a finitely generated field extension of an algebraically closed field k and C : f(x) = ayn be a curve over K, where char(k) - n, f(x) 2 kx]. When n > 4, a 62 Kn and f has at least three simple zeros, the curve C is not defined over k. |
| Keywords: | Algebraic curves Genus Automorphisms |
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