Diffeomorphic types of complements of nice point arrangements in CP^l  

作　　者：YAU Stephen S.-T. 

机构地区：[1]Department of Mathematics,East China Normal University [2]Department of Mathematics,University of Illinois at Chicago

出　　处：《Science China Mathematics》2009年第12期2774-2791,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.10731030);Program of Shanghai Subject Chief Scientist (PSSCS) of Shanghai

摘　　要：We use a new method to study arrangement in CPl,define a class of nice point arrangements and show that if two nice point arrangements have the same combinatorics,then their complements are diffeomorphic to each other.In particular,the moduli space of nice point arrangements with same combinatorics in CPl is connected.It generalizes the result on point arrangements in CP3 to point arrangements in CPl for any l.We use a new method to study arrangement in CP l , define a class of nice point arrangements and show that if two nice point arrangements have the same combinatorics, then their complements are diffeomorphic to each other. In particular, the moduli space of nice point arrangements with same combinatorics in CP l is connected. It generalizes the result on point arrangements in CP 3 to point arrangements in CP l for any l.

关 键 词：diffeomorphic type hyperplane arrangement lattice isotopy 14F05 14H30 

分 类 号：O189.33[理学—数学]