The algebra of continuous piecewise polynomials

Louis J. Billera

Type: Article

Publication Date: 1989-08-01

Citations: 56

DOI: https://doi.org/10.1016/0001-8708(89)90047-9

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Advances in Mathematics - View

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Works That Cite This (44)

Action	Title	Year	Authors
+ PDF Chat	Subalgebras of the Stanley—Reisner Ring	1999	Hal Schenck
+	Shellability and freeness of continuous splines	2012	Michael DiPasquale
+ PDF Chat	Intersection Theory of Matroids: Variations on a Theme	2024	Federico Ardila–Mantilla
+	Equivariant Todd Classes for Toric Varieties	2003	Jean-Luc Brylinski Bin Zhang
+	An equivariant Riemann-Roch theorem for complete, simplicial toric varieties.	1997	Michel Brion Michèle Vergne
+	Modules of piecewise polynomials and their freeness	1992	Louis J. Billera Lauren L. Rose
+	Gröbner Basis Methods for Multivariate Splines	1989	Louis J. Billera Lauren L. Rose
+ PDF Chat	Generalized integer splines on arbitrary graphs	2022	Lauren L. Rose Jeff Suzuki
+ PDF Chat	Stresses and Liftings of Cell-Complexes	1999	Konstantin Rybnikov
+	On Projective Dimension of Spline Modules	1996	Satya Deo

Works Cited by This (11)

Action	Title	Year	Authors
+	Combinatorics and Commutative Algebra	1996	Richard P. Stanley
+	Polyhedral Theory and Commutative Algebra	1983	Louis J. Billera
+	Sch�lbare Cohen-Macauley-Komplexe und ihre Parametrisierung	1979	B. Kind Peter Kleinschmidt
+	A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes	1981	Louis J. Billera Carl W. Lee
+	Combinatorial decompositions of a class of rings	1981	Kenneth Bacławski Adriano M. Garsia
+	Combinatorial methods in the theory of Cohen-Macaulay rings	1980	Adriano M. Garsia
+	Cohen-Macaulay quotients of polynomial rings	1976	Gerald Allen Reisner
+	The number of faces of a simplicial convex polytope	1980	Richard P. Stanley
+ PDF Chat	Balanced Cohen-Macaulay complexes	1979	Richard P. Stanley
+	The Upper Bound Conjecture and Cohen-Macaulay Rings	1975	Richard P. Stanley