Supersolvable orders and inductively free arrangements

Ruimei Gao, Xiupeng Cui, Zhe Li
2017 Open Mathematics  
AbstractIn this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order. Our main results improve the conclusion that every supersolvable arrangement is inductively free. In addition, we assert that the inductively free arrangement with the required induction table is supersolvable.
doi:10.1515/math-2017-0052 fatcat:f6t4kjqo6jbztpfxgpqo4och5i