Free arrangements and nice partitions
Commun. Korean Math. Soc. 2002 Vol. 17, No. 3, 439-449
Printed September 1, 2002
Hyun-Hee Choi, Ki-Suk Lee
Korea National University of Education, Korea National University of Education
Abstract : If an arrangement admits a nice partition, or an arrangement is free, then the characteristic polynomial of the arrangement can be factored. It is known that a free arrangement does not always admit a nice partition. We show that even an inductively free arrangement does not always admit a nice partition.
Keywords : hyperplane arrangement, inductively free, nice partition
MSC numbers : Primary 52B30; Secondary 32S25
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