Heavy hyperplanes in multiarrangements and their freeness

Takuro Abe, Lukas Kühne

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

Only few categories of free arrangements are known in which Terao’s conjecture holds. One such category consists of 3-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.

本文言語英語
ページ(範囲)581-606
ページ数26
ジャーナルJournal of Algebraic Combinatorics
48
4
DOI
出版ステータス出版済み - 12 1 2018

All Science Journal Classification (ASJC) codes

  • 代数と数論
  • 離散数学と組合せ数学

フィンガープリント

「Heavy hyperplanes in multiarrangements and their freeness」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル