Skip to main content
SpringerLink
Log in

On the number of domains of maximal dimension in partitions of projective spaces by hyperplane arrangements

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. B. Grünbaum, Arrangements and Spreads (Amer. Math. Soc., Providence, RI, 1972).

    MATH  Google Scholar 

  2. N. Martinov, Discrete Comput. Geom. 9 (1), 39 (1993).

    Article  MATH  MathSciNet  Google Scholar 

  3. R.W. Shannon, J. Combinatorial Theory Ser. A 20 (3), 327 (1976).

    Article  MATH  MathSciNet  Google Scholar 

  4. T. Zaslavsky, Facing up to Arrangements: Face-Count Formulas for Partitions of Space by Hyperplanes, Mem. Amer. Math. Soc., Vol. 154 (Amer.Math. Soc., Providence, RI, 1975).

  5. R. C. Buck, Amer.Math. Monthly 50, 541 (1943).

    Article  MATH  MathSciNet  Google Scholar 

  6. P. Orlic and L. Solomon, Invent. Math. 56 (2), 167 (1980).

    Article  MathSciNet  Google Scholar 

  7. P. Deshpande, Arrangements of Submanifolds and the Tangent Bundle Complement, Electronic Thesis and Dissertation Repository, Paper 154 (2011).

    Google Scholar 

  8. I. N. Shnurnikov, Mat. Sb. 203 (9), 133–160 (2012) [Russian Acad. Sci. Sb. Math. 203 (9), 1357–1382 (2012)].

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Research University Higher School of Economics, Moscow, Russia

    I. N. Shnurnikov

Authors
  1. I. N. Shnurnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. N. Shnurnikov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shnurnikov, I.N. On the number of domains of maximal dimension in partitions of projective spaces by hyperplane arrangements. Math Notes 97, 480–485 (2015). https://doi.org/10.1134/S0001434615030190

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434615030190

Keywords

Search

Navigation