The diffeomorphic types of the complements of arrangements in CP3 Ⅱ

• 来源期刊: 中国科学A辑(英文版)
• 年，卷（期）: 2008,（4）
• 页码范围: 785-802
• 页数: 18页
• 语种: 英文
• DOI: 10.1007/s11425-007-0174-5

摘要

For any arrangement of hyperplanes in CP3,we introduce the soul of this arrangement.The soul,which is a pseudo-complex,is determined by the combinatorics of the arrangement of hyper- planes.In this paper,we give a sufficient combinatoric condition for two arrangements of hyperplanes to be diffeomorphic to each other.In particular we have found sufficient conditions on combinatorics for the arrangement of hyperplanes whose moduli space is connected.This generalizes our previous result on hyperplane point arrangements in CP3.