Preview
Unable to display preview. Download preview PDF.
Bibliographie
A. D. ALEKSANDROV—On the theory of mixed volumes, 4 articles dans Mat. Sbornik, tomes 44 (p. 947–972 et 1205–1238) et 45 (p. 27–46 et 227–251) en 1937. Traduit par J. Firey, Dept. of Math, Oregon State University, Corvallis, Oregon 97331.
L. J. BILLERA et C. W. LEE—Suffciency of Mc Mullen's condition for f-vectors of simplicial polytopes. Bulletin A.M.S. Vol. 2, no 1 (1980) 181–185.
G. CLEMENTS et B. LINDSTRÖM—A generalization of a combinatorial theorem of Macaulay. Journ. Combinatorial Theory, 7 (1969) 230–238.
V. I. DANILOV—The geometry of toric varieties. Russian Math Surveys 33, 2 (1978) 97–154. Traduit de Uspekhi Mat. Nauk 33, 2, (1978), 85–134.
M. DEMAZURE—Sous groupes algébriques de rang maximum du groupe de Cremona. Annales E.N.S. 4 ème série, t. 3 Fasc. 4 (1970).
F. EHLERS—Eine Klasse komplexer Mannig faltig keiten..., Math. Annalen, 218 (1975) 127–156.
C. GREENE and D. J. KLEITMAN—Proof techniques in the theory of finite sets “M.A.A. Studies in Combinatories” G. C. Rota, editor. Math. Assoc. of America, Washington, D. C. (1978).
G. GRÜNBAUM—Convex Polytopes, Wiley ed.
M. HOCHSTER—Cohen-Macaulay rings, Combinatorics and simplicial complexes. 2nd Oklahoma Ring Theory Conference, 171–223, Dekker 1978.
M. HOCHSTER—Rings of invariants of tori, Cohen—Macaulay rings generated by monomials, Annals of Math. 96 (1972) 318–337.
A. G. HOVANSKI—Uspeki Mat. Nauk, 34, 4(208), p. 160–161.
M. N. ISHIDA—Torus embeddings and dualizing complexes. Tohôku Math. Journal 2nd series Vol. 32 no 1 (1980) 111–146.
G. KEMPF et al.—Toroidal embeddings (Chap. 1), Springer Lecture Note 339.
F. S. MACAULAY—Some properties of enumeration in the theory of modular systems. Proc. Lond. Math. Soc. 26 (1927) 531–555.
P. Mc MULLEN—The maximum number of faces of a convex polytope. Mathematika 17 (1970) 179–184.
T. S. MOTZKIN—Comonotone curves and Polyhedra. Bull. Ann. Math. Soc. 63 (1957) 35.
T. ODA—Torus embeddings and applications, Tata Institute, Bombay 1978.
P. SHENZEL—On the number of faces of simplicial complexes and the purity of Frobenius. Preprint, Martin-Luther Universität, Halle Wittenberg (R.D.R.) 1980.
G. C. SHEPARD—Inequalities between mixed volumes. Mathematika 7 (1960) 125–138.
R. STANLEY—The number of faces of a simplicial convex polytope. Preprint, M.I.T. (1979).
R. STANLEY—The Hilbert function of a graded algebra, Advanced in Math., 28, no 1, (1978) 57–83.
R. STANLEY—The upper bound conjecture and Cohen Macaulay rings, Studies in Applied Math. 54 (1975) 135–142.
R. STANLEY—Weyl groups, the hard Lefschetz theorem, and the Sperner property. S.I.A.M. Journal (1980).
J.H.M. STEENBRINK—Mixed Hodge structure on vanishing cohomology, Real and complex singularities, Oslo 1976, Noordhoff 1977.
B. TEISSIER—Du Théorème de l'index de Hodge aux inégalités isopérimétriques. C.R.A.S. Paris, tome 288 (29 Janvier 1979) 287–289.
B. TEISSIER—Bonnesen type inequalities in algebraic geometry. Preprint, Harvard University et Centre de Math. de l'Ecole Polytechnique (1979).
B. TEISSIER—Jacobian polyhedra and equisingularity. Proceedings Conf. on singularities, R.I.M.S. Kyoto, April 1978. Publ. R.I.M.S. 1978.
L. A. SANTALO—Integral geometry and geometric probability, Encyclopedia of of mathematics and its applications, Addison-Wesley 1976.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1981 N. Bourbaki
About this paper
Cite this paper
Teissier, B. (1981). Varietes Toriques et Polytopes. In: Séminaire Bourbaki vol. 1980/81 Exposés 561–578. Lecture Notes in Mathematics, vol 901. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0097190
Download citation
DOI: https://doi.org/10.1007/BFb0097190
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11176-4
Online ISBN: 978-3-540-38956-9
eBook Packages: Springer Book Archive