Characteristic polynomials, $η$-complexes and freeness of tame arrangements

Details Characteristic polynomials, $η$-complexes and freeness of tame arrangements Characteristic polynomials, $η$-complexes and freeness of tame arrangements

2011-09-06

arxiv.org/abs/1109.1042v1

Mathematics

Complex Variables

15 pages

Scientific paper

We compare each coefficient of the reduced characteristic polynomial of a simple arrangement and that of its Ziegler restriction. As a consequence we can show that the former is not less than the latter in the category of tame arrangements. This is a generalization of Yoshinaga's freeness criterion for 3-arrangements and also the recent result by the author and Yoshinaga. As a corollary, we can prove that a free arrangement is a minimal chamber arrangement, and we can give a freeness criterion in terms of chambers in the category of tame arrangements.

Affiliated with

Also associated with

No associations

Rating

Characteristic polynomials, $η$-complexes and freeness of tame arrangements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Characteristic polynomials, $η$-complexes and freeness of tame arrangements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characteristic polynomials, $η$-complexes and freeness of tame arrangements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92542