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