Results 11 to 20 of about 1,230 (193)
Lattice Sums of Hyperplane Arrangements
, 2023 39 pages, 4 ...
Yasushi, Komori +2 more
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Hyperplane Arrangements in the Grassmannian
Le MatematicheThe Euler characteristic of a very affine variety encodes the algebraic complexity of solving likelihood (or scattering) equations on this variety. We study this quantity for the Grassmannian with $d$ hyperplane sections removed. We provide a combinatorial formula, and explain how to compute this Euler characteristic in practice, both symbolically and ...
E. Mazzucchelli, D. Pavlov, K. Wang
core +6 more sources
Hyperplane arrangements with a lattice of regions [PDF]
Discrete & Computational Geometry, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anders Björner +2 more
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Hyperplane arrangements and diagonal harmonics [PDF]
Journal of Combinatorics, 2011 In 2003, Haglund's bounce statistic gave the first combinatorial interpretation of the q,t-Catalan numbers and the Hilbert series of diagonal harmonics. In this paper we propose a new combinatorial interpretation in terms of the affine Weyl group of type A.
Drew Armstrong
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Lefschetz properties and hyperplane arrangements [PDF]
Journal of Algebra, 2020 To appear in the Journal of ...
Elisa Palezzato, Michele Torielli
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The Varchenko determinant of an oriented matroid [PDF]
Transactions on Combinatorics, 2021 Varchenko introduced in 1993 a distance function on the chambers of a hyperplane arrangement that gave rise to a determinant whose entry in position $(C, D)$ is the distance between the chambers $C$ and $D$, and computed that determinant. In 2017, Aguiar
Hery Randriamaro
doaj +1 more source
Affine and toric arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We extend the Billera―Ehrenborg―Readdy map between the intersection lattice and face lattice of a central hyperplane arrangement to affine and toric hyperplane arrangements.
Richard Ehrenborg +2 more
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An Edge-Signed Generalization of Chordal Graphs, Free Multiplicities on Braid Arrangements, and Their Characterizations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 In this article, we propose a generalization of the notion of chordal graphs to signed graphs, which is based on the existence of a perfect elimination ordering for a chordal graph. We give a special kind of filtrations of the generalized chordal graphs,
Takuro Abe, Koji Nuida, Yasuhide Numata
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Bases for modules of differential operators [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 It is well-known that the derivation modules of Coxeter arrangements are free. Holm began to study the freeness of modules of differential operators on hyperplane arrangements. In this paper, we study the cases of the Coxter arrangements of type A, B and
Norihiro Nakashima
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Pseudo-Permutations II: Geometry and Representation Theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 In this paper, we provide the second part of the study of the pseudo-permutations. We first derive a complete analysis of the pseudo-permutations, based on hyperplane arrangements, generalizing the usual way of translating the permutations. We then study
François Boulier +3 more
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