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Volume 27, Issue 1
An Algorithm for Reducibility of 3-Arrangements

Ruimei Gao & Donghe Pei

Commun. Math. Res., 27 (2011), pp. 62-68.

Published online: 2021-05

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  • Abstract

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.

  • Keywords

hyperplane arrangement, reducibility, freeness.

  • AMS Subject Headings

52C35, 32S22

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-27-62, author = {Gao , Ruimei and Pei , Donghe}, title = {An Algorithm for Reducibility of 3-Arrangements}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {1}, pages = {62--68}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19107.html} }
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.

Gao , Ruimei and Pei , Donghe. (2021). An Algorithm for Reducibility of 3-Arrangements. Communications in Mathematical Research . 27 (1). 62-68. doi:
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