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


MSC:

52Bxx Polytopes and polyhedra

Cite

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
[6]McMullen, P., The numbers of faces of simplicial polytopes, Israel J. Math., 9, 559-570 (1971) ·Zbl 0209.53701
[7]McMullen, P.; Shephard, G. C., Convex Polytopes and the Upper Bound Conjecture, (London Math. Soc. Lecture Note Series, Vol. 3 (1971), Cambridge Univ. Press: Cambridge Univ. Press London/New York) ·Zbl 0217.46702
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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