Cohomology vanishing and a problem in approximation theory

DOI10.1007/s002290100222zbMath1053.14054OpenAlexW2166321137MaRDI QIDQ1598143

Peter F. Stiller, Henry K. Schenck

Publication date: 29 May 2002

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290100222

zbMATH Keywords

semi-stabilityreflexive sheafpiecewise polynomial functions

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Computational aspects of algebraic surfaces (14Q10) Vanishing theorems in algebraic geometry (14F17) Polytopes and polyhedra (52B99)

Related Items (14)

Algebraic methods in approximation theory ⋮ Piecewise polynomials on polyhedral complexes ⋮ From spline approximation to Roth's equation and Schur functors ⋮ Lattice-supported splines on polytopal complexes ⋮ Dimension of mixed splines on polytopal cells ⋮ Generalized splines on graphs with two labels and polynomial splines on cycles ⋮ A homological characterization for freeness of multi-arrangements ⋮ A new bound for smooth spline spaces ⋮ Generalized splines and graphic arrangements ⋮ Smooth planar \(r\)-splines of degree 2\(r\) ⋮ Associated primes of spline complexes ⋮ A counter-example to the Schenck-Stiller ``\(2r + 1\) conjecture ⋮ A Lower Bound for Splines on Tetrahedral Vertex Stars ⋮ Quasi-splines and their moduli

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