Hierarchical zonotopal spaces

DOI10.1090/S0002-9947-2011-05329-8zbMath1254.13024arXiv0910.5543OpenAlexW2147425981MaRDI QIDQ3116572

Amos Ron, Zhiqiang Xu, O. V. Holtz

Publication date: 24 February 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5543

zbMATH Keywords

dualitymatroidsHilbert seriesmultivariate polynomialspolynomial idealshyperplane arrangementszonotopesbox splinespolynomial interpolationzonotopal algebragradingkernels of differential operators

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) General theory of partial differential operators (47F05) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Graded rings (13A02) Combinatorial aspects of matroids and geometric lattices (05B35) Spline approximation (41A15) Graded rings and modules (associative rings and algebras) (16W50) Operator ideals (47L20)

Related Items

Zonotopal algebra and forward exchange matroids, Hierarchical zonotopal power ideals, Ehrhart polynomial and arithmetic Tutte polynomial, Classification of external zonotopal algebras, EXTERNAL ZONOTOPAL ALGEBRA, Zonotopal algebra, Geometric realizations and duality for Dahmen-Micchelli modules and De Concini-Procesi-Vergne modules, A Tutte polynomial for toric arrangements, Splines, lattice points, and arithmetic matroids

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