Skip to main content
SpringerLink
Log in

The group of congruence coefficients of a canonical quadratic form and stable rationality of the PSO variety

  • 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. V. P. Platonov and A. S. Rapinchuk, Algebraic Groups and Number Theory [in Russian], Nauka, Moscow (1991).

    Google Scholar 

  2. V. P. Platonov, “Algebraic groups and reduced K-theory,” in: Proc. Inter. Congr. Math., Vol. 1. Helsinki (1978), pp. 311–317.

    Google Scholar 

  3. J. -P. Serre, Galois Cohomology [Russian translation], Mir, Moscow (1973).

    Google Scholar 

  4. V. E. Voskresenskii, Algebraic Tori [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  5. V. E. Voskresenskii and A. A. Klyachko, “Toroidal Fano varieties and root systems,” Izv. Akad. Nauk SSSR, Ser. Matem.,48, No. 2, 237–263 (1984).

    Google Scholar 

  6. V. P. Platonov and V. I. Chernousov, “On the rationality of canonical spinor varieties,” Dokl. Akad. Nauk SSSR,252, No. 4, 796–800 (1980).

    Google Scholar 

  7. V. I. Chernousov, “On the rationality of group compact-varieties of classical type,” Dokl. Akad. Nauk BSSR,27, No. 12, 1061–1064 (1983).

    Google Scholar 

  8. T. Y. Lam, The Algebraic Theory of Quadratic Forms. Benjamin, New York (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Belarussian Academy of Sciences, USSR

    V. I. Chernousov

Authors
  1. V. I. Chernousov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 55, No. 4, pp. 114–119, April 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chernousov, V.I. The group of congruence coefficients of a canonical quadratic form and stable rationality of the PSO variety. Math Notes 55, 413–416 (1994). https://doi.org/10.1007/BF02112482

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02112482

Keywords

Search

Navigation