Totally free arrangements of hyperplanes


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84064

Title:	Totally free arrangements of hyperplanes
Authors:	Abe, Takuro Browse this author
	Terao, Hiroaki Browse this author
	Yoshinaga, Masahiko Browse this author
Issue Date:	22-May-2008
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	915
Start Page:	1
End Page:	7
Abstract:	A central arrangement $\A$ of hyperplanes in an $\ell$-dimensional vector space $V$ is said to be totally free}if a multiarrangement if $(\A, m)$ is free for any multiplicity $ m : \A\rightarrow \Z_{> 0}$. It has been known that $\A$ is totally free whenever $\ell \le 2$. In this article, we will prove that there does not exist any totally free arrangement other than the obvious ones, that is, a product of one-dimensional arrangements and two-dimensional ones.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69722
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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