一般线排列的拓扑
几何拓扑
2012-06-27 v2
摘要
我们的目标是推广两个一般复线排列等价的结果。实际上，对于线排列A，我们关联其定义多项式，即a_ix+b_iy+c_i的乘积，使得A = (f=0)。我们证明，两个一般线排列的定义多项式在微小形变下是拓扑等价的。在更高维中，相关结果是：在等价超平面排列族内，定义多项式是拓扑等价的。
引用
@article{arxiv.1205.2203,
title = {Topology of generic line arrangements},
author = {Arnaud Bodin},
journal= {arXiv preprint arXiv:1205.2203},
year = {2012}
}
备注
This second version is the first half of v1, that has been been split in two parts for clarity (The second part will be post soon.) The main result has been generalized to generic line arrangements, allowing parallel lines