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The number of faces of a simplicial convex polytope. (English) Zbl 0427.52006


MSC:

52Bxx Polytopes and polyhedra
Full Text: DOI

References:

[1] L. J. Billera and C. W. Lee\(f\); L. J. Billera and C. W. Lee\(f\) · Zbl 0479.52006
[2] Uspekhi Mat. Nauk., 33, No. 2, 85-134 (1978), translated from · Zbl 0425.14013
[3] Griffiths, P.; Harris, J., Principles of Algebraic Geometry (1978), Wiley: Wiley New York · Zbl 0408.14001
[4] Kempf, G.; Knudsen, F.; Mumford, D.; Saint-Donat, B., Toroidal Embeddings I, (Lecture Notes in Mathematics No. 339 (1973), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York) · Zbl 0271.14017
[5] Macaulay, F. S., Some properties of enumeration in the theory of modular systems, (Proc. London Math. Soc., 26 (1927)), 531-555 · JFM 53.0104.01
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[8] Stanley, R., The upper bound conjecture and Cohen-Macaulay rings, Studies in Applied Math., 54, 135-142 (1975) · Zbl 0308.52009
[9] Stanley, R., Hilbert functions of graded algebras, Advances in Math., 28, 57-83 (1978) · Zbl 0384.13012
[10] R. StanleySIAM J. Algebraic Discrete Methods; R. StanleySIAM J. Algebraic Discrete Methods · Zbl 0502.05004
[11] Steenbrink, J. H.M, Mixed Hodge structure on the vanishing cohomology, (Holm, P., Real and complex singularities, Oslo 1976 (1977), Sijthoff & Noordhoff: Sijthoff & Noordhoff Alphen aan den Rijn, The Netherlands), 525-563 · Zbl 0373.14007
[12] Teissier, B., Du théorème de l’index de Hodge aux inégalités isopérimétriques, C. R. Acad. Sci. Paris Ser. A, 288, 287-289 (1979) · Zbl 0406.14011
[13] Demazure, M., Sous-groupes algébriques de rang maximum du groupe de Cremona, Ann. Scient. Éc. Norm. Sup., 3, 507-588 (1970) · Zbl 0223.14009
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