Free arrangements and coefficients of characteristic polynomials

Details Free arrangements and coefficients of characteristic polynomials Free arrangements and coefficients of characteristic polynomials

2011-09-04

arxiv.org/abs/1109.0668v3

Mathematics

Combinatorics

13 pages, ver 2: minor modification

Scientific paper

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.

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