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 ge...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.展开更多
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)。
文摘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.
