TY - JOUR T1 - An Algorithm for Reducibility of 3-Arrangements AU - Gao , Ruimei AU - Pei , Donghe JO - Communications in Mathematical Research VL - 1 SP - 62 EP - 68 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19107.html KW - hyperplane arrangement, reducibility, freeness. AB -

We consider a central hyperplane arrangement in a three-dimensional vector space. The definition of characteristic form to a hyperplane arrangement is given and we could make use of characteristic form to judge the reducibility of this arrangement. In addition, the relationship between the reducibility and freeness of a hyperplane arrangement is given.