On the extendability of free multiarrangements
Combinatorics
2008-04-28 v3 Commutative Algebra
Abstract
A free multiarrangement of rank is defined to be extendable if it is obtained from a simple rank free arrangement by the natural restriction to a hyperplane (in the sense of Ziegler). Not all free multiarrangements are extendable. We will discuss extendability of free multiarrangements for a special class. We also give two applications. The first is to produce totally non-free arrangements. The second is to give interpolating free arrangements between extended Shi and Catalan arrangements.
Cite
@article{arxiv.0710.5044,
title = {On the extendability of free multiarrangements},
author = {Masahiko Yoshinaga},
journal= {arXiv preprint arXiv:0710.5044},
year = {2008}
}
Comments
7 pages, v2: errors corrected and expanded, v3: errors corrected. To appear in the proceeding of 2007 CIMPA Summer School "Arrangements, Local systems and Singularities"