近自由除子与有理尖点曲线
代数几何
2015-06-03 v3 交换代数
摘要
我们定义了一类接近于自由除子的平面曲线，并且推测该类包含有理尖点曲线类。利用 U. Walther 最近的结果，我们证明了任何具有唯一 Puiseux 对的单尖有理曲线要么是自由的，要么属于该类。
引用
@article{arxiv.1505.00666,
title = {Nearly free divisors and rational cuspidal curves},
author = {Alexandru Dimca and Gabriel Sticlaru},
journal= {arXiv preprint arXiv:1505.00666},
year = {2015}
}
备注
v3: title modified and the topological results strengthened. In particular, any rational cuspidal curve whose degree is either even or a prime power, or which has an abelian group, is a nearly free divisor