arXiv:1109.0668 Abstract | arXiv Analytics

arXiv:1109.0668 [math.CO]Abstract References Reviews Resources

Free arrangements and coefficients of characteristic polynomials

Published 2011-09-04, updated 2012-02-26Version 3

Ziegler showed that free arrangements have free restricted multiarrangements (multirestrictions). After Ziegler's work, several results concerning "reverse direction", namely characterizing freeness of an arrangement via that of multirestriction, have appeared. In this paper, we prove that the second Betti number of the arrangement plays a crucial role.

Comments: 13 pages, ver 2: minor modification

Categories: math.CO, math.AC

Keywords: free arrangements, characteristic polynomials, coefficients, second betti number, crucial role

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