k-Lefschetz properties, sectional matrices and hyperplane arrangements


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J. Algebra 590_215-233.pdf

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/91057

Title:	k-Lefschetz properties, sectional matrices and hyperplane arrangements
Authors:	Palezzato, Elisa Browse this author
Authors:	Torielli, Michele Browse this author
Keywords:	Lefschetz properties
	Sectional matrices
	Hyperplane arrangements
	Almost revlex ideals
Issue Date:	15-Jan-2022
Publisher:	Elsevier
Journal Title:	Journal of Algebra
Volume:	590
Start Page:	215
End Page:	233
Publisher DOI:	10.1016/j.jalgebra.2021.10.014
Abstract:	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.
Rights:	©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/
Rights:	http://creativecommons.org/licenses/by-nc-nd/4.0/
Type:	article (author version)
URI:	http://hdl.handle.net/2115/91057
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: TORIELLI Michele

OAI-PMH ( junii2 , jpcoar_1.0 )

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