Some plane curves whose complements have non-abelian fundamental groups
Some plane curves whose complements have non-abelian fundamental groups
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一些其补集具有非交换基本群的平面曲线
DOI：
10.1007/bf01350067
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发表时间：
1975
影响因子：
1.4
通讯作者：
M. Oka
中科院分区：
文献类型：
--
作者：
M. Oka
在文献[2]中，Zebrski给出了一个例子：一条6次射影曲线C，使得基本群~ I（] P：-C）同构于Z：* Zs，其中Z，是n阶循环群，·是自由积。这条曲线C在二次曲线上有六个尖点。它们中的每一个都由以下方程（在拓扑等价的意义上）xZ+ y3= 0局部描述。
In [2], Zariski gave an example of a projective curve C of degree 6 such that the fundamental group~ I (] P:-C) is isomorphic to Z:* Z s where Z, is a cyclic group of order n and• is the free product. This curve C has six cusps on a conic. Each of them is locally described by the following equation (in the sense of topological equivalence) xZ+ y3= 0.