On the Fundamental Groups of Galois Covering Spaces of the Projective Plane

On the Fundamental Groups of Galois Covering Spaces of the Projective Plane
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DOI:
10.1023/b:geom.0000024693.88450.d9
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发表时间:
2004
影响因子:
0.5
通讯作者:
M. Namba;Hiroyasu Tsuchihashi
M. Namba;Hiroyasu Tsuchihashi
中科院分区:
数学4区
文献类型:
--
作者:
M. Namba;Hiroyasu Tsuchihashi

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我们计算了复射影平面上一类实曲线的补的基本群。结果,我们得到了Zariski对。作为应用,我们给出了沿一类特殊曲线分支的射影平面的Galois覆盖空间的基本解群的计算方法。
We compute fundamental groups of the complements of a class of real curves in the complex projective plane. As a result, we obtain a Zariski pair. As an application, we give a method for the computations of the fundamental groups of resolutions of Galois covering spaces of the projective plane ramifying along a special type of curves.