Skip to main content
SpringerLink
Log in

About the image of the total signature map in the two-dimensional case

  • Published:
manuscripta mathematica 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. C. Andradas, L. Bröcker, J-M. Ruiz,Constructible sets in Real Geometry, Ergeb. Math. Grenzgeb., 3. Folge, 33. Berlin Heidelberg New York: Springer, 1996

    MATH  Google Scholar 

  2. F. Acquistapace, F. Broglia, M.P. Vélez,An algorithmic criterion for basicness in dimension 2, Manus. Math.85, 45–66, 1994

    Article  MATH  Google Scholar 

  3. R. Baeza,Quadratic forms over semi-local rings, Lecture Notes in Math. 655, Berlin Heidelberg New York: Springer 1978

    Google Scholar 

  4. J. Bochnak, M. Coste, M-F. Roy,Géométrie algébrique réelle, Ergeb. Math. Grenzgeb., 3. Folge, 12. Berlin Heidelberg New York: Springer 1987

    MATH  Google Scholar 

  5. L. Bröcker,On the separation of the basic semi-algebraic sets by polynomials, Manus. Math. 60, 497–508, 1988

    Article  MATH  Google Scholar 

  6. L. Bröcker,Real Spectra and distribution of signatures inGéométrie Algébrique réelle et formes quadratiques, 249–27, Lecture Notes in Math. 959, Springer, 1982

  7. L. Bröcker,On basic semi-algebraic sets, Expo. Math. 9, 289–334, 1991

    MATH  Google Scholar 

  8. M.D. Choi, M. Knebush, Lam T.Y, Reznick.B,Transversal zeros and positive definite forms inGéométrie Algébrique réelle et formes quadratiques, 273–298, Lecture Notes in Math. 959, Springer, 1982

  9. J-L. Colliot-Thélène, J-J Sansuc,Fibrés quadratiques et composantes connexes rélles, Math. Ann. 244, 105–134, 1979

    Article  MATH  Google Scholar 

  10. G. Dietel,Wittringe Singulärer reeller Kurven 1 et 2, Comm. in Alg.11 (21), 2393–2494, 1983

    Article  Google Scholar 

  11. M. Karoubi,Localisation de formes quadratiques 1, Ann. Sci. Ecole Norm. Sup. 4e série 7, 359–404, 1974

    Google Scholar 

  12. M. Knebush,Symmetric Bilinear forms over algebraic varieties inConference on Quadratic forms, Queens Papers in Pure Appl. 46, 103–283, 1987

    Google Scholar 

  13. M. Knebush,On algebraic curves over real closed fields 1, Math. Z. 150, 49–70, 1976

    Article  Google Scholar 

  14. L. Mahé, Théorème de Pfister pour les variétés et anneaux de Witt réduits, Invent. Math. 85, 53–72, 1986

    Article  MATH  Google Scholar 

  15. L. Mahé,Level and Pythagoras number of some geometric rings, Math. Z. 209 (204), 481–483 (615–629), 1992

    Article  MATH  Google Scholar 

  16. L. Mahé,Signatures et composantes connexes, Math.Ann. 260, 191–210, 1982

    Article  MATH  Google Scholar 

  17. T. Mostowski,Some properties of Nash functions, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 3, 243–266, 1976

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. IRMAR (CNRS, URA 305), Université de Rennes 1, campus de Beaulieu, 35042, Rennes cedex, France

    Jean-Philippe Monnier

Authors
  1. Jean-Philippe Monnier
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This article was processed by the author using the LATEX style filecljour1 from Springer-Verlag.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Monnier, JP. About the image of the total signature map in the two-dimensional case. Manuscripta Math 93, 143–161 (1997). https://doi.org/10.1007/BF02677463

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02677463

Keywords

Search

Navigation