自由但非递归自由且非刚性的构型
组合数学
2014-06-30 v2 代数几何
摘要
我们构造了反例以反驳 Yoshinaga 猜想，即在特征为零的域中，每个自由构型要么是归纳自由的，要么是刚性的。最小的例子包含 个超平面，其相交格具有一维模空间，它是自由的但不是递归自由的。
引用
@article{arxiv.1406.6154,
title = {Free, not recursively free and non rigid arrangements},
author = {Michael Cuntz},
journal= {arXiv preprint arXiv:1406.6154},
year = {2014}
}
备注
After posting the first version of this paper, I was informed by Professor Takuro Abe that Abe, Kawanoue, and Nozawa also found the arrangement with 13 hyperplanes independently, see arXiv:1406.5820. 9 pages, 2 figures