Diffeomorphic types of complements of nice point arrangements in CPl

作者：Yau Stephen S T^*; Ye Fei

来源：Science in China Series A-Mathematics, 2009, 52(12): 2774-2791.

DOI：10.1007/s11425-009-0202-8

• diffeomorphic type
• hyperplane arrangement
• lattice isotopy

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.

• 出版日期2009-12
• 单位华东师范大学