抄録
We define specific multiplicities on the braid arrangement by using signed graphs. To consider their freeness, we introduce the notion of signed-eliminable graphs as a generalization of Stanley's classification theory of free graphic arrangements by chordal graphs. This generalization gives us a complete classification of the free multiplicities defined above. As an application, we prove one direction of a conjecture of Athanasiadis on the characterization of the freeness of certain deformations of the braid arrangement in terms of directed graphs.
本文言語 | 英語 |
---|---|
ページ(範囲) | 131-134 |
ページ数 | 4 |
ジャーナル | Journal of the London Mathematical Society |
巻 | 80 |
号 | 1 |
DOI | |
出版ステータス | 出版済み - 8月 2009 |
外部発表 | はい |
!!!All Science Journal Classification (ASJC) codes
- 数学一般