Skip to main content
SpringerLink
Log in

On orientable real algebraicM-surfaces

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

Here we study relations between homology classes determined by real points of a real algebraicM-surface. We prove new congruences involving the Euler characteristics of the connected components of the set of these real points.

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

Similar content being viewed by others

References

  1. V. A. Krasnov, “On homology classes determined by real points of a real variety”,Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.],55, No. 2, 282–302 (1991).

    MATH  Google Scholar 

  2. V. A. Krasnov, “The Albanese mapping for real varieties”,Mat. Zametki [Math. Notes],32, No. 3, 365–374 (1982).

    MATH  MathSciNet  Google Scholar 

  3. V. A. Krasnov, “The Albanese mapping forGMℤ-varieties,”Mat. Zametki [Math. Notes],35, No. 5, 739–747 (1984).

    MATH  MathSciNet  Google Scholar 

  4. I. R. Shafarevich (editor),Algebraic Surfaces [in Russian],Trudy Mat. Inst. Steklov [Proc. Steklov Inst. Math.] Vol. 75, (1965).

  5. V. A. Krasnov, “On cohomology classes determined by real points of a real algebraicGM-surface”,Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.],57, No. 5, 210–221 (1993).

    MATH  Google Scholar 

  6. V. A. Krasnov, “The Harnack-Thom inequalities for mappings of real varieties”,Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.],47, No. 2, 268–297 (1983).

    MathSciNet  Google Scholar 

  7. V. A. Krasnov, “Equivariant cohomology of real algebraic surfaces and its approximation”,Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.], (to appear).

  8. V. A. Rokhlin, “Congruences modulo 16 in the Hilbert 16th problem”,Funktsional. Anal. i Prilozhen, [Functional Anal. Appl.],6, No. 4, 58–64 (1972).

    MATH  Google Scholar 

  9. V. V. Nikulin, “Involutions of integer-valued quadratic forms and their applications to real algebraic geometry”,Izv. Akad. Nauk SSSR Ser. Mat. [Math. USSR-Izv.],47, No. 1, 109–177 (1983).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Yaroslavl

    V. A. Krasnov

Authors
  1. V. A. Krasnov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromMatematicheskie Zametki, Vol. 62, No. 4, pp. 510–526, October, 1997.

Translated by S. S. Anisov

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krasnov, V.A. On orientable real algebraicM-surfaces. Math Notes 62, 434–438 (1997). https://doi.org/10.1007/BF02358976

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02358976

Key words

Search

Navigation