Freeness for multiarrangements of hyperplanes over arbitrary fields

DOI10.1080/00927872.2021.1956514zbMath1487.32164arXiv1912.09266OpenAlexW3190507871MaRDI QIDQ5027501

Michele Torielli

Publication date: 4 February 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09266

zbMATH Keywords

freenesshyperplane arrangementslogarithmic derivationsmodular approachmultiarrangements of hyperplanes

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Uses Software

• arrangements

Cites Work

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• Characterization of a free arrangement and conjecture of Edelman and Reiner
• Free arrangements of hyperplanes over an arbitrary field
• Signed graphs and the freeness of the Weyl subarrangements of type \(B_\ell\)
• Combinatorially equivalent hyperplane arrangements
• Lefschetz properties and hyperplane arrangements
• Free hyperplane arrangements over arbitrary fields
• New characterizations of freeness for hyperplane arrangements
• Hyperplane arrangements in CoCoA
• Freeness of hyperplane arrangements and related topics
• Localization of plus-one generated arrangements
• The Euler multiplicity and addition-deletion theorems for multiarrangements
• Ziegler’s Multireflection Arrangements Are Free

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