On fundamental groups related to the Hirzebruch surface F_1

作     者：Michael FRIEDMAN Mina TEICHER 

作者机构：Department of MathematicsBar-Ilan University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2008年第51卷第4期

页      面：728-745页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work was supported by the Emmy Noether Institute Fellowship(by the Minerva Foundation of Germany) Israel Science Foundation(Grant No.8008/02-3) 

主　　题：Hirzebruch surfaces degeneration generic projection branch curve braid monodromy fundamental group classification of surfaces 

摘      要：Given a projective surface and a generic projection to the plane,the braid monodromy factorization(and thus,the braid monodromy type)of the complement of its branch curve is one of the most important topological invariants,stable on *** this factorization,one can compute the fundamental group of the complement of the branch curve,either in C^2 or in CP^*** this article,we show that these groups,for the Hirzebruch surface F_1,(a,b),are *** is, they are an extension of a solvable group,which strengthen the conjecture on degeneratable surfaces.