中国科学院大学学报 ›› 2007, Vol. 24 ›› Issue (6): 725-728.DOI: 10.7523/j.issn.2095-6134.2007.6.001
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周贇
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ZHOU Yun
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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 k[x]. When n > 4, a 62 Kn and f has at least three simple zeros, the curve C is not defined over k.
Key words: Algebraic curves, Genus, Automorphisms
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O187
周贇. 一类曲线的定义域（英文）[J]. 中国科学院大学学报, 2007, 24(6): 725-728.
ZHOU Yun. Fields of definition of a family of curves[J]. , 2007, 24(6): 725-728.
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链接本文: http://journal.ucas.ac.cn/CN/10.7523/j.issn.2095-6134.2007.6.001
http://journal.ucas.ac.cn/CN/Y2007/V24/I6/725
