Variétés toriques et polytopes

 Access to full text

 Full (PDF)

1. [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. [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. Zbl0431.52009MR551759
3. [3] G. Clements et B. Lindström - A generalization of a combinatorial theorem of Macaulay. Journ. Combinatorial Theory, 7 (1969) 230-238. Zbl0186.01704MR246781
4. [4] V.I. Danilov - The geometry of toric varieties. Russian Math Surveys33, 2 (1978) 97-154. Traduit de Uspekhi Mat. Nauk33, 2 (1978) 85-134. Zbl0425.14013MR495499
5. [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). Zbl0223.14009MR284446
6. [6] F. Ehlers - Eine Klasse komplexer Mannig faltig keiten ..., Math. Annalen, 218 (1975) 127-156. Zbl0301.14003MR492378
7. [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). Zbl0409.05012MR513002
8. [8] G. Grunbaum - Convex Polytopes, Wiley ed. Zbl0163.16603
9. [9] M. Hochster - Cohen-Macaulay rings, Combinatories and simplicial complexes. 2nd Oklahoma Ring Theory Conference, 171-223, Dekker1978 . Zbl0351.13009MR441987
10. [10] M. Hochster - Rings of invariants of tori, Cohen - Macaulay rings generated by monomials, Annals of Math.96 (1972) 318-337. Zbl0237.14019MR304376
11. [11] A.G. Hovanski - Uspeki Mat. Nauk, 34, 4(208), p. 160-161. 
12. [12] M.N. Ishida - Torus embeddings and dualizing complexes. Tohôku Math. Journal2nd series Vol. 32 n° 1 (1980) 111-146. Zbl0454.14021MR567836
13. [13] G. Kempf et al. - Toroidal embeddings (Chap. 1), Springer Lecture Note339. Zbl0271.14017
14. [14] F.S. Macaulay - Some properties of enumeration in the theory of modular systems. Proc. Lond. Math. Soc.26 (1927) 531-555. Zbl53.0104.01JFM53.0104.01
15. [15] P. Mc Mullen - The maximum number of faces of a convex polytope. Mathematika17 (1970) 179-184. Zbl0217.46703MR283691
16. [16] T.S. Motzkin - Comonotone curves and Polyhedra Bull. Ann. Math. Soc.63 (1957) 35. 
17. [17] T. Oda - Torus embeddings and applications, Tata Institute, Bombay1978. MR546291
18. [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. [19] G.C. Shepard - Inequalities between mixed volumesMathematika7 (1960) 125 - 138. Zbl0108.35203MR146736
20. [20] R. Stanley - The number of faces of a simplicial convex polytope. Preprint, M.I.T. (1979). MR563925
21. [21] R. Stanley - The Hilbert function of a graded algebra, Advanced in Math., 28 n°1, (1978) 57-83. Zbl0384.13012MR485835
22. [22] R. Stanley - The upper bound conjecture and Cohen Macaulay rings, Studies in Applied Math.54 (1975) 135-142. Zbl0308.52009MR458437
23. [23] R. Stanley - Weyl groups, the hard Lefschetz theorem, and the Sperner property. S.I.A.M. Journal (1980). Zbl0502.05004MR578321
24. [24] J.H.M. Steenbrink - Mixed Hodge structure on vanishing cohomology, Real and complex singularities, Oslo1976, Noordhoff1977. Zbl0373.14007MR485870
25. [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. Zbl0406.14011MR524795
26. [26] B. Teissier - Bonnesen type inequalities in algebraic geometry. Preprint, Harvard University et Centre de Math. de l'Ecole Polytechnique (1979). MR645731
27. [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. [28] L.A. Santalo - Integral geometry and geometric probability, Encyclopedia of of mathematics and its applications, Addison-Wesley1976. Zbl0342.53049MR433364

1. Raika Dehy, Rupert W.T. Yu, Degeneration of Schubert varieties of $S{L}_n/B$ to toric varieties
2. Thomas Delzant, Hamiltoniens périodiques et images convexes de l'application moment
3. Michel Brion, Points entiers dans les polytopes convexes
4. Michel Brion, Points entiers dans les polyèdres convexes
5. Claude Sabbah, Lieu des pôles d'un système holonome d'équations aux différences finies