The Euler multiplicity and addition-deletion theorems for multiarrangements
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Publication:5460405
DOI10.1112/jlms/jdm110zbMath1140.52015arXivmath/0612739OpenAlexW3105528072MaRDI QIDQ5460405
Takuro Abe, Hiroaki Terao, Max D. Wakefield
Publication date: 5 May 2008
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0612739
Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)
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Divisionally free arrangements of hyperplanes ⋮ Heavy hyperplanes in multiarrangements and their freeness ⋮ Free multiplicities on the moduli of \(X_{3}\) ⋮ The characteristic polynomial of a multiarrangement ⋮ Plus-one Generated and Next to Free Arrangements of Hyperplanes ⋮ Inductive and Recursive Freeness of Localizations of Multiarrangements ⋮ Inductive freeness of Ziegler's canonical multiderivations for reflection arrangements ⋮ Recent topics of arrangements of hyperplanes ⋮ Inequalities for free multi-braid arrangements ⋮ Freeness of multi-reflection arrangements via primitive vector fields ⋮ A homological characterization for freeness of multi-arrangements ⋮ Exponents of 2-multiarrangements and multiplicity lattices ⋮ Free and non-free multiplicity on the deleted \(A_{3}\) arrangement ⋮ Locally heavy hyperplanes in multiarrangements ⋮ Deletion theorem and combinatorics of hyperplane arrangements ⋮ Inductively free multiderivations of braid arrangements ⋮ Generalized splines and graphic arrangements ⋮ Totally free arrangements of hyperplanes ⋮ Ziegler’s Multireflection Arrangements Are Free ⋮ Free and non-free multiplicities on the \(A_3\) arrangement ⋮ Freeness for multiarrangements of hyperplanes over arbitrary fields
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