小次数线构型中自由性与近自由性的组合性质
代数拓扑
2018-05-03 v2 代数几何
组合数学
摘要
我们证明了 Terao 猜想：在复射影平面中 13 条线的构型，其自由性由组合决定；且对于复射影平面中至多 12 条线的线构型，近自由性这一性质是组合的。
引用
@article{arxiv.1712.04400,
title = {Freeness and near freeness are combinatorial for line arrangements in small degrees},
author = {Alexandru Dimca and Denis Ibadula and Anca Macinic},
journal= {arXiv preprint arXiv:1712.04400},
year = {2018}
}
备注
v2: improved presentation, new section added (section 4, main results Thm 4.9, Prop. 4.10)