We study torsion properties of the twisted Alexander modules of the affine complement M of a complex essential hyperplane arrangement, as well as those of punctured stratified tubular neighborhoods of complex essential hyperplane arrangements. We investigate divisibility properties between the twisted Alexander polynomials of the two spaces, compute the (first) twisted Alexander polynomial of a punctured stratified tubular neighborhood of an essential line arrangement, and study the possible roots of the twisted Alexander polynomials of both the complement and the punctured stratified tubular neighborhood of an essential hyperplane arrangement in higher dimensions. We apply our results to distinguish non-homeomorphic homotopy equivalent arrangement complements. We also relate the twisted Alexander polynomials of M with the corresponding twisted homology jump loci.

我们研究仿射补码M的扭曲亚历山大模块的扭转特性复杂的基本超平面布置的示意图，以及复杂的基本超平面布置的穿刺分层管状邻域的示意图。我们研究了两个空间的扭曲亚历山大多项式之间的可除性，计算了基本线排列的分层分层管状邻域的（第一个）扭曲亚历山大多项式，并研究了补码和整数的扭曲亚历山大多项式的可能根较大尺寸的基本超平面排列的穿刺分层管状邻域。我们运用我们的结果来区分非同胚同态同等排列补体。我们还将M的扭曲Alexander多项式与相应的扭曲同源跳跃位点相关联。