k-Lefschetz properties, sectional matrices and hyperplane arrangements

Palezzato, Elisa; Torielli, Michele

Journal of Algebra, 2022, 590, 215-233

Permalink : https://hdl.handle.net/2115/91057

このアイテムのアクセス数:180件（2026-01-15 12:31 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
J. Algebra 590_215-233	pdf	306 KB	100

アクセス権	open access
URI	https://hdl.handle.net/2115/91057
タイトル	k-Lefschetz properties, sectional matrices and hyperplane arrangements
著者	著者名 Palezzato, Elisa
著者	著者名 Torielli, Michele
言語	英語
キーワード	Lefschetz properties
	Sectional matrices
	Hyperplane arrangements
	Almost revlex ideals
発行日	2022-01-15
出版者	Elsevier
収録物名	Journal of Algebra
巻(号)	590
ページ	215-233
抄録	In this article, we study the k-Lefschetz properties for non-Artinian algebras, proving that several known results in the Artinian case can be generalized in this setting. Moreover, we describe how to characterize the graded algebras having the k-Lefschetz properties using sectional matrices. We then apply the obtained results to the study of the Jacobian algebra of hyperplane arrangements, with particular attention to the class of free arrangements. (C) 2021 Elsevier Inc. All rights reserved.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
権利情報	©2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
PISSN	0021-8693
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.jalgebra.2021.10.014