Hyperplane arrangements and Lefschetz's hyperplane section theorem

Kodai Mathematical Journal

Masahiko Yoshinaga¹ 

[1] International Centre for Theoretical Physics

关键词: Arrangements;    Minimal CW-complex;    Homotopy type;   

DOI  :  10.2996/kmj/1183475510

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(33)The Lefschetz hyperplane section theorem asserts that a complex affine variety is homotopy equivalent to a space obtained from its generic hyperplane section by attaching some cells. The purpose of this paper is to give an explicit description of attaching maps of these cells for the complement of a complex hyperplane arrangement defined over real numbers. The cells and attaching maps are described in combinatorial terms of chambers. We also discuss the cellular chain complex with coefficients in a local system and a presentation for the fundamental group associated to the minimal CW-decomposition for the complement.

【 授权许可】

Unknown