自由与单纯线排列的组合学
组合数学
2019-02-08 v2
摘要
我们研究实射影平面中伪线排列的组合学。我们的焦点在于两类排列：单纯排列以及特征多项式仅有实根的排列。我们导出涉及所考虑排列的 -向量的不等式。作为应用，我们得到了一些有限性与分类结果。此外，我们能够证明特征多项式在 上分裂的实伪线排列的 Dirac-Motzkin 猜想。
引用
@article{arxiv.1809.09362,
title = {Combinatorics of free and simplicial line arrangements},
author = {David Geis},
journal= {arXiv preprint arXiv:1809.09362},
year = {2019}
}
备注
18 pages, 2 figures. Updates in this version: the exposition has been changed in order to increase the level of organization of the paper (results are unchanged). The focus has been shifted more towards pseudoline arrangements, which is appropriate because most results are combinatorial in nature