Article PDF
Avoid common mistakes on your manuscript.
Literature Cited
V. I. Arnol'd, "The cohomology ring of the coloured braid group," Mat. Zametki,5, No. 1, 227–231 (1969).
E. Brieskorn, Sur les Groupes de Tresses (d'après V. Arnold), Sem. Bourbaki, 24e Année, 1971/2. Lecture Notes in Math., No. 317, Springer-Verlag, Berlin (1973).
P. Orlik and L. Solomon, "Combinatorics and topology of complements of hyperplanes," Inventiones Math.,56, 167–189 (1980).
I. M. Gel'fand, "Genetic theory of hypergeometric functions," Dokl. Akad. Nauk SSSR,288, No. 1, 14–18 (1986).
I. M. Gel'fand and S. I. Gel'fand, "Generalized hypergeometric equations," Dokl. Akad. Nauk SSSR,288, No. 2, 279–283 (1986).
I. M. Gel'fand and M. I. Graev, "A duality theorem for general hypergeometric functions," Dokl. Akad. Nauk SSSR,289, No. 1, 19–23 (1986).
I. M. Gel'fand and A. V. Zelevinskii, "Algebraic and combinatoric aspects of the general theory of hypergeometric functions," Funkts. Anal. Prilozhen.,20, No. 3, 17–34 (1986).
V. A. Vasil'ev, I. M. Gel'fand, and A. V. Zelevinskii, "General hypergeometric functions on complex Grassmannians," Funkts. Anal. Prilozhen.,21, No. 1, 23–38 (1987).
A. N. Varchenko, "Combinatorics and topology of an arrangement of affine hyperplanes in real space," Funkts. Anal. Prilozhen.,21, No. 1, 11–22 (1987).
T. Kohno, "Homology of a local system on the complement of hyperplanes," Proc. Jpn. Acad., Ser. A,62, No. 4, 144–147 (1986).
A. Bjorner, "On the homology of geometric lattices," Algebra Univ.,14, No. 1, 107–128 (1982).
M. Jambu and D. Leborne, "Möbius's function and arrangements of hyperplanes," C.R. Acad. Sci. Paris,303, No. 7, 311–319 (1986).
M. Barnabei, A. Brinin, and G.-C. Rota, "Theory of Möbius functions," Usp. Mat. Nauk,41, No. 3, 113–157 (1986).
P. McMullen, "The number of faces of simplicial polytopes," Israel J. Math.,9, 559–570 (1971).
R. Stanley, "Hilbert functions of graded algebras," Adv. Math.,28, 57–83 (1978).
Additional information
I. M. Gubkin Institute of the Petrochemical and Gas Industry. Institute of Applied Mathematics, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 21, No. 4, pp. 1–18, October–December, 1987.
Rights and permissions
About this article
Cite this article
Varchenko, A.N., Gel'fand, I.M. Heaviside functions of a configuration of hyperplanes. Funct Anal Its Appl 21, 255–270 (1987). https://doi.org/10.1007/BF01077800
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01077800