Results 31 to 40 of about 1,230 (193)
Cutting hyperplane arrangements [PDF]
Proceedings of the sixth annual symposium on Computational geometry - SCG '90, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Computing characteristic polynomials of hyperplane arrangements with symmetries
, 2023 Brysiewicz T, Eble H, Kühne L. Computing characteristic polynomials of hyperplane arrangements with symmetries. Discrete and Computational Geometry. 2023;70:1356–1377.We introduce a new algorithm computing the characteristic polynomials of hyperplane ...
Kühne, Lukas ; https://orcid.org/ +2 more
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Equivariant perverse sheaves on Coxeter arrangements and buildings [PDF]
Épijournal de Géométrie Algébrique, 2019 When $W$ is a finite Coxeter group acting by its reflection representation on $E$, we describe the category ${\mathsf{Perv}}_W(E_{\mathbb C}, {\mathcal{H}}_{\mathbb C})$ of $W$-equivariant perverse sheaves on $E_{\mathbb C}$, smooth with respect to the ...
Martin H. Weissman
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Combinatorial Depth Measures for Hyperplane Arrangements
, 2023 Regression depth, introduced by Rousseeuw and Hubert in 1999, is a notion that measures how good of a regression hyperplane a given query hyperplane is with respect to a set of data points.
Soberón, Pablo, Schnider, Patrick
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Free hyperplane arrangements over arbitrary fields [PDF]
, 2020 In this paper, we study the class of free hyperplane arrangements. Specifically, we investigate the relations between freeness over a field of finite characteristic and freeness over ...
Torielli, Michele, Palezzato, Elisa
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Graded Linearity of Stanley–Reisner Ring of Broken Circuit Complexes
Journal of Mathematics, 2022 This paper introduces two new notions of graded linear resolution and graded linear quotients, which generalize the concepts of linear resolution property and linear quotient for modules over the polynomial ring A=kx1,…,xn.
Mohammad Reza-Rahmati, Gerardo Flores
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On the freeness of hypersurface arrangements consisting of hyperplanes and spheres
Open Mathematics, 2018 Let V be a smooth variety. A hypersurface arrangement 𝓜 in V is a union of smooth hypersurfaces, which locally looks like a union of hyperplanes. We say 𝓜 is free if all these local models can be chosen to be free hyperplane arrangements.
Gao Ruimei, Dai Qun, Li Zhe
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Face monoid actions and tropical hyperplane arrangements [PDF]
, 2017 We study the combinatorics of tropical hyperplane arrangements, and their relationship to (classical) hyperplane face monoids. We show that the refinement operation on the faces of a tropical hyperplane arrangement, introduced by Ardila and Develin in ...
Kambites, Mark +3 more
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Noncrossing partitions and the shard intersection order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We define a new lattice structure (W,\preceq ) on the elements of a finite Coxeter group W. This lattice, called the \emphshard intersection order, is weaker than the weak order and has the noncrossing partition lattice \NC (W) as a sublattice.
Nathan Reading
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Projection Volumes of Hyperplane Arrangements [PDF]
Discrete & Computational Geometry, 2011 We prove that for any finite real hyperplane arrangement the average projection volumes of the maximal cones is given by the coefficients of the characteristic polynomial of the arrangement. This settles the conjecture of Drton and Klivans that this held for all finite real reflection arrangements. The methods used are geometric and combinatorial. As a
Caroline J. Klivans, Ed Swartz
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