Modules of splines on polyhedral complexes

DOI10.1007/BF02571795zbMath0848.52003MaRDI QIDQ1204267

Sergey Yuzvinsky

Publication date: 3 March 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174400

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Homological dimension and commutative rings (13D05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Polytopes and polyhedra (52B99)

Related Items (15)

Algebraic methods in approximation theory ⋮ Piecewise polynomials on polyhedral complexes ⋮ 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 ⋮ Lattice-supported splines on polytopal complexes ⋮ Shellability and freeness of continuous splines ⋮ Splines with boundary conditions ⋮ A new bound for smooth spline spaces ⋮ An algorithm for generating generalized splines on graphs such as complete graphs, complete bipartite graphs and hypercubes ⋮ Modules of piecewise polynomials and their freeness ⋮ An algorithm for constructing a basis for 𝐶^{𝑟}-spline modules over polynomial rings ⋮ Sheaf-theoretic investigation of CIP-method ⋮ Associated primes of spline complexes ⋮ Quasi-splines and their moduli

Cites Work

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• The algebra of continuous piecewise polynomials
• Cohen-Macaulay seminormalizations of unions of linear subspaces
• Topological results in combinatorics
• Cohen-Macaulay rings of sections
• Modules of piecewise polynomials and their freeness
• Flasque sheaves on posets and Cohen-Macaulay unions of regular varieties

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