Galois points on singular plane quartic curves
Galois points on singular plane quartic curves
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奇异平面四次曲线上的伽罗瓦点
DOI：
10.1016/j.jalgebra.2005.02.015
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发表时间：
2005
影响因子：
0.9
通讯作者：
Kei Miura
中科院分区：
文献类型：
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作者：
Kei Miura
本文用[K. Miura，H. Yoshihara，Field theory for function fields of plane quartic curves，J. Algebra 226（2000）283-294]。特别地，我们研究了奇异平面四次曲线上的伽罗瓦点，并确定了它们上伽罗瓦点的个数。当曲线存在伽罗瓦点时，给出了具体的定义方程.
We study the structure of function fields of plane curves following our method developed in [K. Miura, H. Yoshihara, Field theory for function fields of plane quartic curves, J. Algebra 226 (2000) 283–294]. Especially, we study Galois points on singular plane quartic curves and determine the number of Galois points on them. Furthermore, we give concrete defining equations when the curve has a Galois point.