Skip to main content
SpringerLink
Log in

On splitting of totally singular quadratic forms

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

In this note we completely study the standard splitting of quasi-Pfister forms and their neighbors, and we include some general results on standard splitting towers of totally singular quadratic forms.

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. Baeza R.,Quadratic forms over semilocal rings, Lect. Notes Math.,655, Berlin, Heidelberg, New York: Springer 1978.

    MATH  Google Scholar 

  2. Hoffmann D. W.,Isotropy of quadratic forms over the function field of a quadric, Math. Z.,220 (1995), 461–476.

    Article  MATH  MathSciNet  Google Scholar 

  3. Hoffmann D. W., Laghribi A.,Quadratic forms and Pfister neighbors in characteristic 2, Trans. Amer. Math. Soc.,356 (2004), 4019–4053.

    Article  MATH  MathSciNet  Google Scholar 

  4. Hoffmann D. W., Laghribi A.,Isotropy of quadratic forms over the function field of a quadric in characteristic 2, to appear in J. Algebra.

  5. Hurrelbrink J., Rehmann U.,Splitting patterns of excellent quadratic forms, J. Reine Angew. Math.,444 (1993), 183–192.

    MATH  MathSciNet  Google Scholar 

  6. Knebusch M.,Generic splitting of quadratic forms I, Proc. London. Math. Soc.,33 (1976), 65–93.

    Article  MATH  MathSciNet  Google Scholar 

  7. Knebusch M.,Spezialisierung von quadratischen und symmetrisch bilinearen Formen, book in preparation.

  8. Knebusch M., Rehmann U.,Generic splitting towers and generic splitting preparation of quadratic forms, Proceedings of the Conference, University Dublin College, Providence, RI: AMS. Contemp. Math.,272 (2000), 173–199.

    MathSciNet  Google Scholar 

  9. Laghribi A.,Certaines formes quadratiques de dimension au plus 6 et corps des fonctions en caractéristique 2, Israel J. Math.,129 (2002), 317–361.

    Article  MATH  MathSciNet  Google Scholar 

  10. Laghribi A.,On the generic splitting of quadratic forms in characteristic 2, Math. Z.,240 (2002), 711–730.

    Article  MATH  MathSciNet  Google Scholar 

  11. Mammone P., Tignol J.-P., Wadsworth A.,Fields of characteristic 2 with prescribed u-invariant, Math. Ann.,290 (1991), 109–128.

    Article  MATH  MathSciNet  Google Scholar 

  12. Wadsworth A. R.,Noetherian pairs and function fields of quadratic forms, Doctoral Dissertation, University of California, 1972.

Download references

Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501, Bielefeld

    Ahmed Laghribi

Authors
  1. Ahmed Laghribi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author was supported by the European research network HPRN-CT-2002-00287 “AlgebraicK-Theory, Linear Algebraic Groups and Related Structures”.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Laghribi, A. On splitting of totally singular quadratic forms. Rend. Circ. Mat. Palermo 53, 325–336 (2004). https://doi.org/10.1007/BF02875725

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02875725

Key words and phrases

2000 Mathematics Subject Classification

Search

Navigation