Cartier, Pierre
Les arrangements d'hyperplans : un chapitre de géométrie combinatoire
Séminaire Bourbaki, Tome 23 (1980-1981) , Exposé no. 561 , p. 1-22
Zbl 0483.51011 | MR 647485 | 6 citations dans Numdam
URL stable : http://www.numdam.org/item?id=SB_1980-1981__23__1_0

Bibliographie

[1] R.C. Buck - Partitions of space , Amer.Math.Monthly , 50(1943) , 541-544. MR 9119 | Zbl 0061.30609

[2] B. Grünbaum - Convex polytopes, Interscience , New York , 1976. Zbl 0163.16603

[3] B. Grünbaum - Arrangements of hyperplanes, Proc. Second Luisiana Conference on Combinatorics , Graph Theory , and Computing , R.C. Mullin and al., ed., Baton Rouge , 1971. MR 320895 | Zbl 0289.52004

[4] R.O. Winder - Partitions of N-space by hyperplanes, SIAM J.Appl.Math. , 14(1966) , 811-818. MR 208471 | Zbl 0161.13601

[5] T. Zaslavsky - Facing up to arrangements : face-count formulas for partition of space by hyperplanes, Memoirs Amer.Math.Soc. , 154(1975). MR 357135 | Zbl 0296.50010

[6] T. Brylawski - A decomposition for combinatorial geometries, Trans.Amer.Math.Soc. , 171(1972) , 235-282. MR 309764 | Zbl 0224.05007

[7] H. Crapo - A higher invariant for matroids, J.Comb.Theory , 2(1967) , 406-417. MR 215744 | Zbl 0168.26203

[8] H. Crapo et G.C. Rota - On the Foundations of Combinatorial Theory : Combinatorial Geometries, M.I.T. Press , Cambridge , Mass. , 1970. MR 290980 | Zbl 0216.02101

[9] M. Las Vergnas - Convexity in oriented matroids, J.Comb.Theory B , 29(1980) , 231- 243. MR 586435 | Zbl 0443.05026

[10] G.C. Rota- On the Foundations of Combinatorial Theory I : Theory of Möbius Functions, Zeit. für Wahrsch. , 2(1964) , 340-368. MR 174487 | Zbl 0121.02406

[11] W.T. Tutte - A ring in graph theory, Proc. Cambridge Phil. Soc. , 43(1947) , 26-40. MR 18406 | Zbl 0031.41803

[12] H. Whitney - On the abstract properties of linear dependence, Amer.J.Math. , 57 (1935) , 509-533. C. Homologie JFM 61.0073.03 | MR 1507091

[13] K. Baclawski - Whitney numbers of geometric lattices, Adv. in Math. , 16(1975) , 125-138. MR 387086 | Zbl 0326.05027

[14] J. Folkman - The homology groups of a lattice, J. Math. and Mech. , 15(1966) , 631-636. MR 188116 | Zbl 0146.01602

[15] V.I. Arnold - The cohomology ring of the colored braid group, Mat. Zametki , 5 (1969) , 227-231. MR 242196 | Zbl 0277.55002

[16] N. Bourbaki - Groupes et Algèbres de Lie , chapitres 4 à 6 , Hermann , Paris ,1968. MR 240238 | Zbl 0483.22001

[17] E. Brieskorn - Sur les groupes de tresses (d'après V.I. Arnold) , Séminaire Bourbaki , 24e année , 1971/2 , Lect. Notes 317 , Springer , 1973. Numdam | MR 422674 | Zbl 0277.55003

[18] P. Orlik et L. Solomon - Combinatorics and topology of complements of hyperplanes, Inv. Math. , 56(1980) , 167-189. MR 558866 | Zbl 0432.14016

[19] P. Orlik et L. Solomon - Unitary reflection groups and cohomology, Inv.Math. , 59(1980) , 77-94. MR 575083 | Zbl 0452.20050

[20] K. Saito - Theory of logarithmic differential forms and logarithmic vector fields, Journ. Fac. Sci. Tokyo IA , 27(1980) , 265-291. MR 586450 | Zbl 0496.32007

[21] G.C. Shephard et J.A. Todd - Finite unitary reflection groups, Can.J.Math., 6 (1954) , 274-304. MR 59914 | Zbl 0055.14305

[22] H. Terao - Arrangements of hyperplanes and their freeness I;II , Journ. Fac. Sci. Tokyo IA , 27(1980) , 293-320. MR 586451 | Zbl 0509.14006

[23] H. Terao - Generalized exponents of a free arrangement of hyperplanes and Shepherd-Todd-Brieskorn formula, Inv. Math., 63(1981), 159-179. MR 608532 | Zbl 0437.51002

[24] H. Terao- Free arrangements of hyperplanes and unitary reflection groups, Proc. Japan Acad., 56(1980), 389-392. MR 596011 | Zbl 0476.14016