Skip to main content
SpringerLink
Log in

Newton polyhedra and toroidal varieties

  • Published:
Functional Analysis and Its Applications Aims and scope

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

Literature Cited

  1. D. N. Bernshtein, A. G. Kushnirenko, and A. G. Khovanskii, "Newton polyhedra," Usp. Mat. Nauk,31, No. 3, 201–202 (1976).

    Google Scholar 

  2. G. Kempf, F. Knudsen, D. Mumford, and B. Saint-Donat, Toroidal Embedding. I, Lecture Notes in Math., No. 339, Springer-Verlag (1973).

  3. F. Ehlers, Eine Klass complexer Mannigfaltigheiten und die Auflösung einiger isolierter Singularitäten," Math. Ann.,218, 127–257 (1975).

    Google Scholar 

  4. A. G. Kushnirenko, "The Newton polyhedron and the number of solutions of a system of k equations in k unknowns," Usp. Mat. Nauk,30, No. 2, 302–303 (1975).

    Google Scholar 

  5. N. G. Chebotarev, "The ‘Newton polyhedron’ and its role in the contemporary development of mathematics," in: Collected Works [in Russian], Vol. III, Izd. Akad. Nauk SSSR, Moscow—Leningrad (1950), pp. 47–48.

    Google Scholar 

  6. A. D. Bryuno, "On power asymptotic behavior of solutions of nonlinear systems," Preprint IPM, No. 51 (1973).

  7. A. D. Bryuno, Elements of Nonlinear Analysis (Summary of Lectures) [in Russian], Samarkandsk Univ. (1973).

  8. F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer-Verlag, Berlin—Heidelberg—New York (1966).

    Google Scholar 

  9. A. G. Kushnirenko, "The Newton polyhedron and Milnor numbers," Funkts. Anal. Prilozhen.,9, No. 1, 74–75 (1975).

    Google Scholar 

  10. A. G. Kouchnirenko, "Polyèdres de Newton et nobres de Milnor," Invent. Math.,32, No. 1, 1–32 (1976).

    Google Scholar 

  11. P. MacMullen, "Metrical and combinatorial properties of convex polytopes," in: Proceedings of the International Congress of Mathematicians, Vol. 1, Vancouver (1974), pp. 431–435.

  12. D. N. Bernshtein, "The number of integral points in integral polyhedra," Funkts. Anal. Prilozhen.,10, No. 3, 72–73 (1976).

    Google Scholar 

Download references

Authors
  1. A. G. Khovanskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

All-Union Scientific-Research Institute of System Studies. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 11, No. 4, pp. 56–64, October–December, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khovanskii, A.G. Newton polyhedra and toroidal varieties. Funct Anal Its Appl 11, 289–296 (1977). https://doi.org/10.1007/BF01077143

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01077143

Keywords

Search

Navigation