Results 11 to 20 of about 1,232 (194)
Hyperplane Arrangements in polymake [PDF]
Lecture Notes in Computer Science, 2020 Hyperplane arrangements form the latest addition to the zoo of combinatorial objects dealt with by polymake. We report on their implementation and on a algorithm to compute the associated cell decomposition. The implemented algorithm performs significantly better than brute force alternatives, as it requires less convex hulls computations.
Marta Panizzut +2 more
exaly +5 more sources
Multivariate splines and hyperplane arrangements [PDF]
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chun-Gang Zhu, Ren-Hong Wang
exaly +3 more sources
Deformations of Coxeter Hyperplane Arrangements [PDF]
Journal of Combinatorial Theory - Series A, 2000 33 ...
Richard P Stanley, Alexander Postnikov
exaly +5 more sources
The Monodromy Conjecture for hyperplane arrangements [PDF]
Geometriae Dedicata, 2011 Added: 2.6-2.9 discussing the p-adic ...
Nero Budur +2 more
exaly +7 more sources
Affine and Toric Hyperplane Arrangements [PDF]
Discrete & Computational Geometry, 2009 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. For arrangements on the torus, we also generalize Zaslavsky's fundamental results on the number of regions.
Richard Ehrenborg +2 more
openaire +5 more sources
Combinatorially equivalent hyperplane arrangements [PDF]
Advances in Applied Mathematics, 2021 We study the combinatorics of hyperplane arrangements over arbitrary fields. Specifically, we determine in which situation an arrangement and its reduction modulo a prime number have isomorphic lattices via the use of minimal strong $σ$-Gröbner bases.
Elisa Palezzato, Michele Torielli
openaire +6 more sources
Hyperplane Arrangements and Diagonal Harmonics [PDF]
Discrete Mathematics & Theoretical Computer Science, 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
Drew Armstrong
doaj +5 more sources
Lattice Sums of Hyperplane Arrangements [PDF]
, 2023 39 pages, 4 ...
Yasushi, Komori +2 more
openaire +4 more sources
Hyperplane Arrangements in the Grassmannian [PDF]
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 +7 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
openaire +5 more sources