Heavy hyperplanes in multiarrangements and their freeness
Combinatorics
2019-06-05 v1 Commutative Algebra
Algebraic Geometry
Abstract
Only few categories of free arrangements are known in which Terao's conjecture holds. One of such categories consists of -arrangements with unbalanced Ziegler restrictions. In this paper, we generalize this result to arbitrary dimensional arrangements in terms of flags by introducing unbalanced multiarrangements. For that purpose, we generalize several freeness criterions for simple arrangements, including Yoshinaga's freeness criterion, to unbalanced multiarrangements.
Keywords
Cite
@article{arxiv.1603.05803,
title = {Heavy hyperplanes in multiarrangements and their freeness},
author = {Takuro Abe and Lukas Kühne},
journal= {arXiv preprint arXiv:1603.05803},
year = {2019}
}
Comments
28 pages