Proceedings of the Japan Academy, Series A, Mathematical Sciences

Free arrangements of hyperplanes over an arbitrary field

Hiroaki Terao

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci. Volume 59, Number 7 (1983), 301-303.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195515452

Digital Object Identifier
doi:10.3792/pjaa.59.301

Mathematical Reviews number (MathSciNet)
MR726186

Zentralblatt MATH identifier
0634.05019

Subjects
Primary: 32C40
Secondary: 05B30: Other designs, configurations [See also 51E30]

Citation

Terao, Hiroaki. Free arrangements of hyperplanes over an arbitrary field. Proc. Japan Acad. Ser. A Math. Sci. 59 (1983), no. 7, 301--303. doi:10.3792/pjaa.59.301. https://projecteuclid.org/euclid.pja/1195515452.


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References

  • [1] P. Orlik and L. Solomon: Combinatorics and topology of complements of hyperplanes. Invent, math., 56, 167-189 (1980).
  • [2] P. Orlik and L. Solomon: Unitary reflection groups and cohomology. ibid., 59, 77-94 (1980).
  • [3] P. Orlik, L. Solomon, and H. Terao: Arrangements of hyperplanes (in preparation).
  • [4] K. Saito: Theory of logarithmic differential forms and logarithmic vector fields. J. Fac. Sci. Univ. Tokyo, Sect. IA, 27, 265-291 (1980).
  • [5] H. Terao: Arrangements of hyperplanes and their freeness I. ibid., 27, 293-312 (1980).
  • [6] H. Terao: Generalized exponents of a free arrangement of hyperplanes and Shephard-Todd-Brieskorn formula. Invent, math., 63, 159-179 (1981).