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Commutative algebras for arrangements
Published online by Cambridge University Press: 22 January 2016
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Let V be a vector space of dimension l over some field K. A hyperplane H is a vector subspace of codimension one. An arrangement is a finite collection of hyperplanes in V. We use [7] as a general reference.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1994
References
[1]
Aomoto, K., Hypergeometric functions, the past, today, and …… (from complex analytic view point), (in Japanese), Sügaku, 45 (1993), 208–220.Google Scholar
[2]
Björner, A., On the homotopy of geometric lattices, Algebra Universalis, 14 (1982), 107–128.CrossRefGoogle Scholar
[3]
Brieskorn, E., Sur les groupes de tresses, In: Séminaire Bourbaki 1971/72. Lecture Notes in Math., 317, Springer Verlag, 1973, pp. 21–44.Google Scholar
[4]
Gelfand, I.M., Zelevinsky, A.V., Algebraic and combinatorial aspects of the general theory of hypergeometric functions, Funct. Anal, and Appl., 20 (1986), 183–197.Google Scholar
[5]
Jambu, M., Terao, H., Arrangements of hyperplanes and broken circuits, In: Singularities. Contemporary Math., 90, Amer. Math. Soc., 1989. pp. 147–162.Google Scholar
[6]
Orlik, P., Solomon, L., Combinatorics and topology of complements of hyperplanes, Invent, math.
56 (1980) 167–189.Google Scholar
[7]
Orlik, P., Terao, H., Arrangements of hyperplanes, Grundlehren der math. Wiss., 300, Springer-Verlag, Berlin-Heidelberg-New York, 1992.Google Scholar
[8]
Zaslavsky, T., Facing up to arrangements: Face-count formulas for partitions of space by hyperplanes, Memoirs Amer. Math. Soc., 154, 1975.Google Scholar
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