›› 2007, Vol. 24 ›› Issue (6): 725-728.DOI: 10.7523/j.issn.2095-6134.2007.6.001
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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
CLC Number:
O187
ZHOU Yun. Fields of definition of a family of curves[J]. , 2007, 24(6): 725-728.
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URL: http://journal.ucas.ac.cn/EN/10.7523/j.issn.2095-6134.2007.6.001
http://journal.ucas.ac.cn/EN/Y2007/V24/I6/725
