Skip to main content
Log in

On the Poincaré series of the Milnor algebra of arrangements

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. A. G. Alexandrov, “Nonisolated hypersurface singularities,” In:Theory of Singularities and Its Applications, Vol. I, Ed. V. I. arnold, Amer. Math. Soc. (1990), pp. 211–246.

  2. A. D. R. Choudary and A. Dimca, “Koszul complexes and hypersurfaces singularities,” Pure Math., preprint 91-26, University of Sydney (1991).

  3. P. Orlik, “Introduction to arrangements,” In:Regional Conference Series in Mathematics, CBMS Lecture Notes,72, Amer. Math. Soc., Providence, Rhode Island (1989).

    Google Scholar 

  4. P. Orlik and H. Terao,Arrangements of Hyperplanes, Springer-Verlag (1992).

  5. L. L. Rose and H. Terao, “A free resolution of logarithimic forms of a generic arrangement,”J. Algebra,136, 376–400 (1991).

    Article  MathSciNet  Google Scholar 

  6. L. L. Rose and H. Terao, “Hilbert polynomials and geometric lattices,”Adv. Math.,84, 209–225 (1990).

    Article  MathSciNet  Google Scholar 

  7. K. Saito, “Theory of logarithmic differential forms and logarithmic vector fields,”J. Fac. Sci. Univ. Tokyo, Sect. IA. Math.,27, 265–291 (1980).

    MATH  MathSciNet  Google Scholar 

  8. H. Terao, “Arrangements of hyperplanes and their freeness. I,”J. Fac. Sci. Univ. Tokyo, Sec. IA. Math.,27, 293–312 (1980).

    MATH  MathSciNet  Google Scholar 

  9. A. Zaharia,A Study of Singularities with Nonisolated Critical Locus, Thesis, Rijksuniversiteit Utrecht (1993).

  10. G. M. Ziegler, “Combinatorial construction of logarithmic differential forms,”Adv. Math.,76, 116–154 (1989).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Authors

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremenaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 20, Topologiya-3, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zaharia, A. On the Poincaré series of the Milnor algebra of arrangements. J Math Sci 82, 3730–3736 (1996). https://doi.org/10.1007/BF02362582

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02362582

Navigation