Results 81 to 90 of about 351,610 (104)

Application of hyperplane arrangements to weight enumeration

open access: yes, 2014
Many research in coding theory is focussed on linear error-correcting codes. Since these codes are subspaces, linear algebra plays a prominent role in studying them.
Jurrius, RPMJ Relinde   +3 more
core  

Projection volumes of hyperplane arrangements

open access: yes, 2010
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
Caroline J. Klivans, Ed Swartz
core  

Hyperplane Arrangements And Linear Strands In Resolutions

open access: yes
this paper A stands for a central hyperplane arrangement of hyperplanes H 1 ; : : : ; H
Irena Peeva
core  

The integer cohomology of toric Weyl arrangements [PDF]

open access: yes
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then ...
Simona Settepanella
core  

Generic section of a hyperplane arrangement and twisted Hurewicz maps [PDF]

open access: yesTopology and Its Applications, 2008
We consider a twisted version of the Hurewicz map on the complement of a hyperplane arrangement. The purpose of this paper is to prove surjectivity of the twisted Hurewicz map under some genericity conditions. As a corollary, we also prove that a generic
Masahiko Yoshinaga
exaly   +2 more sources

Eigenvectors for a random walk on a hyperplane arrangement [PDF]

open access: yesAdvances in Applied Mathematics, 2012
We find explicit eigenvectors for the transition matrix of the Bidigare–Hanlon–Rockmore random walk, from Bidigare et al. (1999) [1]. This is accomplished by using Brown and Diaconisʼ (1998) analysis in [3] of the stationary distribution, together with ...
Graham Denham
exaly   +2 more sources

Hyperplane arrangements between Shi and Ish [PDF]

open access: yesElectronic Notes in Discrete Mathematics, 2018
We introduce a new family of hyperplane arrangements in dimension n≥3 that includes both the Shi arrangement and the Ish arrangement. We prove that all the members of this family have the same number of regions -- the connected components of the ...
Rui Duarte, Antonio Guedes de Oliveira
exaly   +2 more sources
Some of the next articles are maybe not open access.

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Twisted Alexander modules of hyperplane arrangement complements

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
Eva Elduque
exaly  

Computing Characteristic Polynomials of Hyperplane Arrangements with Symmetries

Discrete and Computational Geometry, 2023
Lukas Kühne, Taylor Brysiewicz
exaly  

Modifications of hyperplane arrangements

Journal of Combinatorial Theory - Series A, 2023
Suijie Wang
exaly  

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