Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients
Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients
复制标题
实数排列和下中央级数商中的扭转的基本群
DOI：
10.1080/10586458.2018.1428131
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发表时间：
2018
影响因子：
0.5
通讯作者：
Viu-Sos Juan
中科院分区：
文献类型：
--
作者：
Bartolo Enrique Artal;Guerville-Balle Benoit;Viu-Sos Juan
利用计算机辅助，证明了真实的复杂线列的补的基本群不由其交格决定，为Falk和Randell的一个问题提供了反例.我们还推导出下中心级数项的挠率不是组合确定的，从而否定了Suciu的一个问题。
By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing a counter-example for a problem of Falk and Randell. We also deduce that the torsion of the lower central series quotients is not combinatorially determined, which gives a negative answer to a question of Suciu.