On free deformations of the braid arrangement

European Journal of Combinatorics

Volumn 19, Issue 1, 1998, Pages 7-18

  Athanasiadis, Christos A ^a,b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032331096     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1006/eujc.1997.0149     Document Type: Article

References (19)

1. C. A. Athanasiadis, Characteristic polynomials of subspace arrangements and finite fields, Adv. Math., 122 (1996), 193-233.
2. C. A. Athanasiadis, Algebraic combinatorics of graph spectra, subspace arrangements and Tutte polynomials, PhD thesis, MIT, 1996.
3. G. D. Bailey, Tilings of zonotopes: Discriminantal arrangements, oriented matroids, and enumeration, PhD thesis, University of Minnesota, 1997.
4. P. H. Edelman and V. Reiner, A counterexample to Orlik's conjecture, Proc. Amer. Math. Soc., 118 (1993), 927-929.
5. n, Math. Z., 215 (1994), 347-365.
6. P. H. Edelman and V. Reiner, Free arrangements and rhombic tilings, Discr. Comput. Geom., 15 (1996), 307-340.
7. P. Headley, On reduced words in affine Weyl groups, in: Proc. 'Formal Power Series and Algebraic Combinatorics (FPSAC) 1994', L. J. Billera, C. Green, R. Simion and R. Stanley (eds), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Amer. Math. Soc., 24 (1996), 225-232.
8. P. Headley, Reduced expressions in infinite Coxeter groups, PhD thesis, University of Michigan, 1994.
9. T. Jozefiak and B. E. Sagan, Basic derivations for subarrangements of Coxeter arrangements, J. Alg. Comb., 2 (1993), 291-320.
10. P. Orlik and H. Terao, Arrangements of Hyperplanes, Grundlehren 300, Springer, New York, 1992.
11. A. Postnikov and R. Stanley, Deformations of Coxeter hyperplane arrangements, preprint, 14 April, 1997 (MIT).
12. B. E. Sagan, Why the characteristic polynomial factors, preprint, 24 September, 1995, Michigan State University.
13. J.-Y. Shi, The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups, Lecture Notes in Mathematics, 1179, Springer, Berlin/Heidelberg/New York, 1986.
14. R. Stanley, Modular elements of geometric lattices, Algebra Universalis, 2 (1972), 197-217.
15. R. Stanley, Hyperplane arrangements, interval orders and trees, Proc. Natl. Acad. Sci., 93 (1996), 2620-2625.
16. R. Stanley, Hyperplane arrangements, parking functions and tree inversions, in: Mathematical Essays in Honor of Gian-Carlo Rota, B. E. Sagan and R. Stanley (eds), Birkhäuser, Boston/Basel/Berlin, to appear.
17. H. Terao, Arrangements of hyperplanes and their freeness I, II, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 27 (1980), 293-320.
18. H. Terao, Generalized exponents of a free arrangement of hyperplanes and the Shepherd-Todd-Brieskorn formula, Invent. Math., 63 (1981), 159-179.
19. G. M. Ziegler, Some almost exceptional arrangements, Adv. Math., 101 (1993), 50-58.