Signed-eliminable graphs and free multiplicities on the braid arrangement

Takuro Abe, Koji Nuida, Yasuhide Numata

研究成果: Contribution to journalArticle査読

10 被引用数 (Scopus)

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
80
1
DOI
出版ステータス出版済み - 8 2009
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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