Variétés toriques et polytopes
Séminaire Bourbaki : vol. 1980/81, exposés 561-578, Séminaire Bourbaki, no. 23 (1981), Exposé no. 565, 14 p.
@incollection{SB_1980-1981__23__71_0,
     author = {Teissier, Bernard},
     title = {Vari\'et\'es toriques et polytopes},
     booktitle = {S\'eminaire Bourbaki : vol. 1980/81, expos\'es 561-578},
     series = {S\'eminaire Bourbaki},
     note = {talk:565},
     pages = {71--84},
     publisher = {Springer-Verlag},
     number = {23},
     year = {1981},
     mrnumber = {647489},
     zbl = {0494.52010},
     language = {fr},
     url = {http://www.numdam.org/item/SB_1980-1981__23__71_0/}
}
TY  - CHAP
AU  - Teissier, Bernard
TI  - Variétés toriques et polytopes
BT  - Séminaire Bourbaki : vol. 1980/81, exposés 561-578
AU  - Collectif
T3  - Séminaire Bourbaki
N1  - talk:565
PY  - 1981
SP  - 71
EP  - 84
IS  - 23
PB  - Springer-Verlag
UR  - http://www.numdam.org/item/SB_1980-1981__23__71_0/
LA  - fr
ID  - SB_1980-1981__23__71_0
ER  - 
%0 Book Section
%A Teissier, Bernard
%T Variétés toriques et polytopes
%B Séminaire Bourbaki : vol. 1980/81, exposés 561-578
%A Collectif
%S Séminaire Bourbaki
%Z talk:565
%D 1981
%P 71-84
%N 23
%I Springer-Verlag
%U http://www.numdam.org/item/SB_1980-1981__23__71_0/
%G fr
%F SB_1980-1981__23__71_0
Teissier, Bernard. Variétés toriques et polytopes, dans Séminaire Bourbaki : vol. 1980/81, exposés 561-578, Séminaire Bourbaki, no. 23 (1981), Exposé no. 565, 14 p. http://www.numdam.org/item/SB_1980-1981__23__71_0/

[1] 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.

[2] 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, n° 1 (1980) 181-185. | MR | Zbl

[3] G. Clements et B. Lindström - A generalization of a combinatorial theorem of Macaulay. Journ. Combinatorial Theory, 7 (1969) 230-238. | MR | Zbl

[4] 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. | MR | Zbl

[5] M. Demazure - Sous groupes algébriques de rang maximum du groupe de Cremona. Annales E.N.S. 4 ème série, t. 3 Fasc. 4 (1970). | Numdam | MR | Zbl

[6] F. Ehlers - Eine Klasse komplexer Mannig faltig keiten ..., Math. Annalen, 218 (1975) 127-156. | MR | Zbl

[7] 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). | MR | Zbl

[8] G. Grunbaum - Convex Polytopes, Wiley ed. | Zbl

[9] M. Hochster - Cohen-Macaulay rings, Combinatories and simplicial complexes. 2nd Oklahoma Ring Theory Conference, 171-223, Dekker 1978 . | MR | Zbl

[10] M. Hochster - Rings of invariants of tori, Cohen - Macaulay rings generated by monomials, Annals of Math. 96 (1972) 318-337. | MR | Zbl

[11] A.G. Hovanski - Uspeki Mat. Nauk, 34, 4(208), p. 160-161.

[12] M.N. Ishida - Torus embeddings and dualizing complexes. Tohôku Math. Journal 2nd series Vol. 32 n° 1 (1980) 111-146. | MR | Zbl

[13] G. Kempf et al. - Toroidal embeddings (Chap. 1), Springer Lecture Note 339.

[14] F.S. Macaulay - Some properties of enumeration in the theory of modular systems. Proc. Lond. Math. Soc. 26 (1927) 531-555. | JFM | MR

[15] P. Mc Mullen - The maximum number of faces of a convex polytope. Mathematika 17 (1970) 179-184. | MR | Zbl

[16] T.S. Motzkin - Comonotone curves and Polyhedra Bull. Ann. Math. Soc. 63 (1957) 35.

[17] T. Oda - Torus embeddings and applications, Tata Institute, Bombay 1978. | MR

[18] 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.

[19] G.C. Shepard - Inequalities between mixed volumes Mathematika 7 (1960) 125 - 138. | MR | Zbl

[20] R. Stanley - The number of faces of a simplicial convex polytope. Preprint, M.I.T. (1979). | MR

[21] R. Stanley - The Hilbert function of a graded algebra, Advanced in Math., 28 n°1, (1978) 57-83. | MR | Zbl

[22] R. Stanley - The upper bound conjecture and Cohen Macaulay rings, Studies in Applied Math. 54 (1975) 135-142. | MR | Zbl

[23] R. Stanley - Weyl groups, the hard Lefschetz theorem, and the Sperner property. S.I.A.M. Journal (1980). | MR | Zbl

[24] J.H.M. Steenbrink - Mixed Hodge structure on vanishing cohomology, Real and complex singularities, Oslo 1976, Noordhoff 1977. | MR | Zbl

[25] B. Teissier - Du Théorème de l'index de Hodge aux inégalités isopérimétriques. C.R.A.S. Paris, tome 288 (29 Janvier 1979) 287-289. | MR | Zbl

[26] B. Teissier - Bonnesen type inequalities in algebraic geometry. Preprint, Harvard University et Centre de Math. de l'Ecole Polytechnique (1979). | MR

[27] B. Teissier - Jacobian polyhedra and equisingularity. Proceedings Conf. on singularities, R.I.M.S. Kyoto, April 1978. Publ. R.I.M.S. 1978.

[28] L.A. Santalo - Integral geometry and geometric probability, Encyclopedia of of mathematics and its applications, Addison-Wesley 1976. | MR | Zbl