References
[B] Billera, L.: The algebra of continuous piecewise polynomials. Adv. Math.76, 170–183 (1989)
[BR1] Billera, L., Rose, L.: Modules of piecewise polynomials and their freeness. Math. Z.209, 485–497 (1992)
[BR2] Billera, L., Rose, L.: A dimension series for multivariant splines. Discrete Comput. Geom. 6 (1991)
[G] Godement, R.: Topologie algébrique et théorie des faisccaux. Paris: Hermann 1958
[K] Kunz, E.: Introduction to commutative algebra and algebraic geometry. Boston: Birkhäuser 1985
[M] Matsumura, H.: Commutative algebra. New York: Benjamin 1970
[Mu] Munkres, J.: Topological results in combinatorics. Mich. Math. J.31, 113–127 (1984)
[N] Northcott, D.: Finite free resolutions. London: Cambridge University Press 1976
[R] Rose, L.: The structure of modules of splines over polynomial rings. Ph.D. Thesis. Cornell University (1988)
[Y1] Yuzvinsky, S.: Cohen-Macaulay rings of sections. Adv. Math.63, 172–195 (1987)
[Y2] Yuzvinsky, S.: Flasque sheaves on posets and Cohen-Macaulay unions of regular varieties. Adv. Math.73, 24–42 (1989)
[Y3] Yuzvinsky, S.: Cohen-Macaulay seminormalizations of unions of linear subspaces. J. Algebra132, 431–445 (1990)
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The results of this paper were partially presented at the Oberwolfach Conference organized by W. Dahmen and A. Dress in October of 1990
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Yuzvinsky, S. Modules of splines on polyhedral complexes. Math Z 210, 245–254 (1992). https://doi.org/10.1007/BF02571795
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DOI: https://doi.org/10.1007/BF02571795