Hostname: page-component-7b7567c8c-2n9c9 Total loading time: 0 Render date: 2026-11-14T09:55:58.385Z Has data issue: false hasContentIssue false
  • English
  • Français

Commutative algebras for arrangements

Published online by Cambridge University Press:  22 January 2016

Peter Orlik and
Hiroaki Terao
Peter Orlik
Affiliation:
Mathematics Department, University of Wisconsin, Madison, WI 53706, U.S.A.
Hiroaki Terao
Affiliation:
Mathematics Department, University of Wisconsin, Madison, WI 53706, U.S.A.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

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.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 134 , June 1994, pp. 65 - 73
Copyright
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