A Characterization of High Order Freeness for Product Arrangements and Answers to Holm’s Questions

Takuro Abe, Norihiro Nakashima

研究成果: ジャーナルへの寄稿記事

抜粋

An m-free hyperplane arrangement is a generalization of a free arrangement. Holm asked the following two questions: (1)Does m-free imply (m + 1)-free for any arrangement? (2)Are all arrangements m-free for m large enough? In this paper, we characterize m-freeness for product arrangements, while we prove that all localizations of an m-free arrangement are m-free. From these results, we give answers to Holm’s questions.

元の言語英語
ジャーナルAlgebras and Representation Theory
DOI
出版物ステータス受理済み/印刷中 - 1 1 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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