On a conjecture of Rose.

DOI10.1016/S0022-4049(00)00175-4zbMath1089.41029WikidataQ123349647 ScholiaQ123349647MaRDI QIDQ5954070

Henry K. Schenck, John P. Dalbec

Publication date: 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Multidimensional problems (41A63)

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Algebraic methods in approximation theory ⋮ Piecewise polynomials on polyhedral complexes ⋮ A new bound for smooth spline spaces ⋮ An algorithm for generating generalized splines on graphs such as complete graphs, complete bipartite graphs and hypercubes ⋮ Module Basis for Generalized Spline Modules

Uses Software

• Macaulay2

Cites Work

• Modules of piecewise polynomials and their freeness
• Local cohomology of bivariate splines
• A family of ideals of minimal regularity and the Hilbert series of \(C^r(\widehat\Delta)\)
• A spectral sequence for splines
• On the dimension of bivariate spline spaces of smoothness r and degree \(d=3r+1\)
• A dimension series for multivariate splines
• Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang