Skip to main content

A "gersten conjecture" for witt groups

  • Conference paper
  • First Online:
Algebraic K-Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 967))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. M. Auslander and M. Bridger, Stable Module Theory, Mem. A.M.S. 94 (1969).

    Google Scholar 

  2. H. Bass, Algebraic K-Theory, Benjamin, New York (1968).

    MATH  Google Scholar 

  3. ____, On the ubiquity of Gorenstein rings, Math. Zeit. 82 (1963), 8–28.

    Article  MathSciNet  MATH  Google Scholar 

  4. S. Bloch, A. Ogus, Gersten’s Conjecture and the homology of schemes, Ann. Scient. de l’E.N.S., 7 (1974), 181–202.

    MathSciNet  MATH  Google Scholar 

  5. J.-L. Colliot-Thélène, Formes quadratiques sur les anneaux semilocaux réguliers, Bull. Soc. Math. France, Mém. 59, 13–31.

    Google Scholar 

  6. A. Delzant, Définition des classes de Stiefel-Whitney d’un module quadratique sur un corps de caractéristique différente de 2, C. R. Acad. Sci. Paris 255 (1962), 1366–1368.

    MathSciNet  MATH  Google Scholar 

  7. J. Dieudonné, Topics in Local Algebra, Notre Dame Mathematical Lectures, No. 10, University of Notre Dame Press, (1967).

    Google Scholar 

  8. T. Craven, A. Rosenberg, R. Ware, The map of the Witt ring of a domain into the Witt ring of its field of fractions, Proc. A.M.S. 51 (1975), 25–30.

    Article  MathSciNet  MATH  Google Scholar 

  9. S. Gersten, Some exact sequences in the higher K-theory of rings, Springer Lecture Notes, No. 341 (1973), 211–244.

    Google Scholar 

  10. I. Kaplansky, Commutative Rings (Rev. Edn.) University of Chicago Press, (1974).

    Google Scholar 

  11. M. Knebusch, Specialization of quadratic and symmetric bilinear forms and a norm theorem, Acta Arith. 24 (1973), 279–299.

    MathSciNet  MATH  Google Scholar 

  12. M. A. Knus, M. Ojanguren, R. Sridharan, Quadratic forms and Azumaya algebras, J. für die R. u. A. Math., 303/304 (1978), 231–248.

    MathSciNet  MATH  Google Scholar 

  13. E. Matlis, Injective modules over Noetherian rings, Pac. J. Math. 8 (1958), 511–528.

    Article  MathSciNet  MATH  Google Scholar 

  14. M. Ojanguren, Quadratic forms over regular rings, preprint.

    Google Scholar 

  15. W. Pardon, The exact sequence of a localization for Witt groups, Springer Lecture Notes in Math., no. 551 (1976), 336–379.

    Google Scholar 

  16. D. Quillen, Higher algebraic K-theory I, Springer Lecture Notes in Math., no. 341 (1973), 85–147.

    Google Scholar 

  17. A. Ranicki, Exact sequence in the algebraic theory of surgery, to appear in Ann. of Math. Studies, Princeton University Press.

    Google Scholar 

  18. W. Scharlau, Quadratische Formen und Galois-Cohomologie, Inv. Math. 4 (1967), 238–264.

    Article  MathSciNet  MATH  Google Scholar 

  19. D. W. Sharpe, P. Vámos, Injective Modules, Cambridge University Press (1972), Cambridge.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

R. Keith Dennis

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Pardon, W. (1982). A "gersten conjecture" for witt groups. In: Dennis, R.K. (eds) Algebraic K-Theory. Lecture Notes in Mathematics, vol 967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061908

Download citation

  • DOI: https://doi.org/10.1007/BFb0061908

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11966-1

  • Online ISBN: 978-3-540-39556-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics