Inductive and Recursive Freeness of Localizations of Multiarrangements
Combinatorics
2015-09-22 v2 Commutative Algebra
Abstract
The class of free multiarrangements is known to be closed under taking localizations. We extend this result to the stronger notions of inductive and recursive freeness. As an application, we prove that recursively free multiarrangements are compatible with the product construction for multiarrangements. In addition, we show how our results can be used to derive that some canonical classes of free multiarrangements are not inductively free.
Cite
@article{arxiv.1501.06312,
title = {Inductive and Recursive Freeness of Localizations of Multiarrangements},
author = {Torsten Hoge and Gerhard Roehrle and Anne Schauenburg},
journal= {arXiv preprint arXiv:1501.06312},
year = {2015}
}
Comments
17 pages; v 2: introductory material slightly rearranged, some references added and updated; acknowledged grant support, 16 pages;