Combinatorially equivalent hyperplane arrangements

Palezzato, Elisa; Torielli, Michele

Advances in applied mathematics, 2021, 128, 102202

Permalink : https://hdl.handle.net/2115/88699

このアイテムのアクセス数:194件（2026-01-17 20:21 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
Adv. Appl. Math.128_102202	pdf	260 KB	179

アクセス権	open access
URI	https://hdl.handle.net/2115/88699
タイトル	Combinatorially equivalent 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	Hyperplane arrangements
	Lattice of intersections
	Combinatorially equivalent
	Terao's conjecture
	Modular methods
発行日	2021-07
出版者	Elsevier
収録物名	Advances in applied mathematics
巻(号)	128
ページ	102202
抄録	We study the combinatorics of hyperplane arrangements over arbitrary fields. Specifically, we determine in which situation an arrangement and its reduction modulo a prime number have isomorphic lattices via the use of minimal strong sigma-Grobner bases. Moreover, we prove that the Terao's conjecture over finite fields implies the conjecture over the rationals. (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	0196-8858
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.aam.2021.102202