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Combinatorially equivalent hyperplane arrangements

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Adv. Appl. Math.128_102202.pdf260.82 kBPDFView/Open
Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/88699

Title: Combinatorially equivalent hyperplane arrangements
Authors: Palezzato, Elisa Browse this author
Torielli, Michele Browse this author
Keywords: Hyperplane arrangements
Lattice of intersections
Combinatorially equivalent
Terao's conjecture
Modular methods
Issue Date: Jul-2021
Publisher: Elsevier
Journal Title: Advances in applied mathematics
Volume: 128
Start Page: 102202
Publisher DOI: 10.1016/j.aam.2021.102202
Abstract: 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.
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/
https://creativecommons.org/licenses/by-nc-nd/4.0/
Type: article (author version)
URI: http://hdl.handle.net/2115/88699
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

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