Calculating the Fundamental Group of Galois Cover of the (2, 3)-embedding of CP1 × T
Calculating the Fundamental Group of Galois Cover of the (2, 3)-embedding of CP1 × T
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计算 CP1 × T 的 (2, 3) 嵌入的基本伽罗瓦群覆盖
DOI：
10.1007/s10114-020-9220-9
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通讯作者：
Yoshpe Michael
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作者：
Amram Meirav;Tan Sheng Li;Xu Wan Yuan;Yoshpe Michael
众所周知，计算一般类型曲面的基本群是相当困难的。本文应用Moishezon-Teicher算法，研究了一类拓扑指数为零的一般类型曲面的基本群，即T_（1，1）×T的（2，3）-嵌入的Galois覆盖.由于群的完全表示是非常复杂的，我们计算了它的特殊商，得到了关于它的结构的一个有趣的结果。
As known to all, it is quite difficult to compute the fundamental group of a surface of general type. In this paper, applying Moishezon-Teicher’s algorithm, we investigate the fundamental group of a special surface of general type with zero topological index, namely, the Galois cover of the (2,3)-embedding of ℂℙ1×T. Because the full presentation of the group is very complicated, we compute its special quotient and get an interesting result about its structure.