Calculating the Fundamental Group of Galois Cover of the(2, 3)-embedding of CP^1× T  

作　　者：Meirav AMRAM Sheng Li TAN Wan Yuan XU Michael YOSHPE 

机构地区：[1]Department of Mathematics,Shamoon College of Engineering,Ashdod,Israel [2]School of Mathematical Sciences,Shanghai Key Laboratory of PMMP,East China Normal University,Shanghai 200241,P.R.China [3]Department of Mathematics,Shanghai Normal University,Shanghai 200234,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2020年第3期273-291,共19页数学学报（英文版）

基　　金：Supported by the ISF-NSFC joint research program(Grant No.2452/17);NSF of China,MST of China(Grant No.2018AAA0101001);STC of Shanghai(Grant No.18dz2271000)。

摘　　要：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 CP^1×T.Because the full presentation of the group is very complicated,we compute its special quotient and get an interesting result about its structure.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 CP^1×T.Because the full presentation of the group is very complicated,we compute its special quotient and get an interesting result about its structure.

关 键 词：Fundamental groups GALOIS COVER BRAID MONODROMY FACTORIZATION 

分 类 号：O152[理学—数学]