Field theory for function fields of singular plane quartic curves
Field theory for function fields of singular plane quartic curves
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奇异平面四次曲线函数场的场论
DOI：
10.1017/s0004972700018669
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发表时间：
2000
影响因子：
0.7
通讯作者：
Kei Miura
中科院分区：
文献类型：
--
作者：
Kei Miura
我们利用投影研究平面四次曲线函数域的结构。取点 P ∈ ℙ2，我们定义从曲线 C 到以 P 为中心的直线 l 的投影。该投影产生扩展场 k (C)/k (ℙ1)。利用这一事实，我们从几何角度研究场扩展 k (C)/k (ℙ1)。在本文中，我们采用带有奇异点的四次曲线。
We study the structure of function fields of plane quartic curves by using projections. Taking a point P ∈ ℙ2, we define the projection from a curve C to a line l with the centre P. This projection induces and extension field k (C)/k (ℙ1). By using this fact, we study the field extension k (C)/k (ℙ1) from a geometrical point of view. In this note, we take up quartic curves with singular points.