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Commutative algebras for arrangements

  • Peter Orlik (a1) and Hiroaki Terao (a1)

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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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References

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[1] Aomoto, K., Hypergeometric functions, the past, today, and …… (from complex analytic view point), (in Japanese), Sügaku, 45 (1993), 208220.
[2] Björner, A., On the homotopy of geometric lattices, Algebra Universalis, 14 (1982), 107128.
[3] Brieskorn, E., Sur les groupes de tresses, In: Séminaire Bourbaki 1971/72. Lecture Notes in Math., 317, Springer Verlag, 1973, pp. 2144.
[4] Gelfand, I.M., Zelevinsky, A.V., Algebraic and combinatorial aspects of the general theory of hypergeometric functions, Funct. Anal, and Appl., 20 (1986), 183197.
[5] Jambu, M., Terao, H., Arrangements of hyperplanes and broken circuits, In: Singularities. Contemporary Math., 90, Amer. Math. Soc., 1989. pp. 147162.
[6] Orlik, P., Solomon, L., Combinatorics and topology of complements of hyperplanes, Invent, math. 56 (1980) 167189.
[7] Orlik, P., Terao, H., Arrangements of hyperplanes, Grundlehren der math. Wiss., 300, Springer-Verlag, Berlin-Heidelberg-New York, 1992.
[8] Zaslavsky, T., Facing up to arrangements: Face-count formulas for partitions of space by hyperplanes, Memoirs Amer. Math. Soc., 154, 1975.
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Commutative algebras for arrangements

  • Peter Orlik (a1) and Hiroaki Terao (a1)

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