Les arrangements d'hyperplans : un chapitre de géométrie combinatoire

 Access to full text

 Full (PDF)

1. [1] R.C. Buck - Partitions of space , Amer.Math.Monthly , 50(1943) , 541-544. Zbl0061.30609MR9119
2. [2] B. Grünbaum - Convex polytopes, Interscience , New York , 1976. Zbl0163.16603
3. [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. Zbl0289.52004MR320895
4. [4] R.O. Winder - Partitions of N-space by hyperplanes, SIAM J.Appl.Math. , 14(1966) , 811-818. Zbl0161.13601MR208471
5. [5] T. Zaslavsky - Facing up to arrangements : face-count formulas for partition of space by hyperplanes, Memoirs Amer.Math.Soc. , 154(1975). Zbl0296.50010MR357135
6. [6] T. Brylawski - A decomposition for combinatorial geometries, Trans.Amer.Math.Soc. , 171(1972) , 235-282. Zbl0224.05007MR309764
7. [7] H. Crapo - A higher invariant for matroids, J.Comb.Theory , 2(1967) , 406-417. Zbl0168.26203MR215744
8. [8] H. Crapo et G.C. Rota - On the Foundations of Combinatorial Theory : Combinatorial Geometries, M.I.T. Press , Cambridge , Mass. , 1970. Zbl0216.02101MR290980
9. [9] M. Las Vergnas - Convexity in oriented matroids, J.Comb.Theory B , 29(1980) , 231- 243. Zbl0443.05026MR586435
10. [10] G.C. Rota- On the Foundations of Combinatorial Theory I : Theory of Möbius Functions, Zeit. für Wahrsch. , 2(1964) , 340-368. Zbl0121.02406MR174487
11. [11] W.T. Tutte - A ring in graph theory, Proc. Cambridge Phil. Soc. , 43(1947) , 26-40. Zbl0031.41803MR18406
12. [12] H. Whitney - On the abstract properties of linear dependence, Amer.J.Math. , 57 (1935) , 509-533. C. Homologie Zbl0012.00404MR1507091JFM61.0073.03
13. [13] K. Baclawski - Whitney numbers of geometric lattices, Adv. in Math. , 16(1975) , 125-138. Zbl0326.05027MR387086
14. [14] J. Folkman - The homology groups of a lattice, J. Math. and Mech. , 15(1966) , 631-636. Zbl0146.01602MR188116
15. [15] V.I. Arnold - The cohomology ring of the colored braid group, Mat. Zametki , 5 (1969) , 227-231. Zbl0277.55002MR242196
16. [16] N. Bourbaki - Groupes et Algèbres de Lie , chapitres 4 à 6 , Hermann , Paris ,1968. Zbl0483.22001MR240238
17. [17] E. Brieskorn - Sur les groupes de tresses (d'après V.I. Arnold) , Séminaire Bourbaki , 24e année , 1971/2 , Lect. Notes317 , Springer , 1973. Zbl0277.55003MR422674
18. [18] P. Orlik et L. Solomon - Combinatorics and topology of complements of hyperplanes, Inv. Math. , 56(1980) , 167-189. Zbl0432.14016MR558866
19. [19] P. Orlik et L. Solomon - Unitary reflection groups and cohomology, Inv.Math. , 59(1980) , 77-94. Zbl0452.20050MR575083
20. [20] K. Saito - Theory of logarithmic differential forms and logarithmic vector fields, Journ. Fac. Sci. Tokyo IA , 27(1980) , 265-291. Zbl0496.32007MR586450
21. [21] G.C. Shephard et J.A. Todd - Finite unitary reflection groups, Can.J.Math., 6 (1954) , 274-304. Zbl0055.14305MR59914
22. [22] H. Terao - Arrangements of hyperplanes and their freeness I;II , Journ. Fac. Sci. Tokyo IA , 27(1980) , 293-320. Zbl0509.14006MR586451
23. [23] H. Terao - Generalized exponents of a free arrangement of hyperplanes and Shepherd-Todd-Brieskorn formula, Inv. Math., 63(1981), 159-179. Zbl0437.51002MR608532
24. [24] H. Terao- Free arrangements of hyperplanes and unitary reflection groups, Proc. Japan Acad., 56(1980), 389-392. Zbl0476.14016MR596011

1. Dominique Foata, Commutation et réarrangements, hier et aujourd'hui
2. Patrick Assouad, Densité et dimension
3. Mario Salvetti, Arrangements of lines and monodromy of plane curves
4. Tan Jiang, Stephen S.-T. Yau, Diffeomorphic types of the complements of arrangements of hyperplanes
5. Pierre Cartier, Jacobiennes généralisées, monodromie unipotente et intégrales itérées
6. Pierre Cartier, Développements récents sur les groupes de tresses. Applications à la topologie et à l'algèbre