Skip to main content
SpringerLink
Log in

Localization of theK-theory of polynomial extensions

  • Published:
Mathematische Annalen 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. Bak, A.: Strong approximation for central coverings of elementary groups. Preprint

  2. Bass, H.: AlgebraicK-theory. New York: Benjamin 1968

    Google Scholar 

  3. Bass, H.: Some problems in “classical” algebraicK-theory. Lecture Notes in Mathematics, 342, pp. 3–73. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  4. Bloch, S.: AlgebraicK-theory and crystalline cohomology. Publ. Inst. des Hautes Études Scientifiques47, 187–268 (1978)

    Google Scholar 

  5. Bloch, S.: Some formulas pertaining to theK-theory of commutative groupschemes. Preprint

  6. Davis, E.: On the geometric interpretation of seminormality. Proc. Amer. Math. Soc.68, 1–5 (1978)

    Google Scholar 

  7. Dennis, R.K., Stein, M.:K 2 of radical ideals and semi-local rings revisited. Lecture Notes in Mathematics, Vol. 342, pp. 281–303. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  8. Dennis, R.K., Krusemeyer, M.:K 2(A[X, Y]/XY), a problem of Swan, and related computations. J. Pure Appl. Algebra15, 125–148 (1979)

    Google Scholar 

  9. Ferrand, D.: Les modules projectifs de type fini sur un anneau de polynomes sur un corps sont libres. Lecture Notes in Mathematics, 567, pp. 202–221. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  10. Godement, R.: Théorie des faisceaux. Paris: Hermann 1958

    Google Scholar 

  11. Grayson, D.: Higher algebraicK-theory II. Lecture Notes in Mathematics, 551, pp. 217–240. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  12. Grayson, D.:K-theory of endomorphisms. J. Algebra48, 439–446 (1977)

    Google Scholar 

  13. Grothendieck, A., Dieudonné, J.A.: Eléments de géométrie algébrique I. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  14. Grothendieck, A.: Eléments de géométrie algébrique III. Publ. Inst. Hautes Études Scientifiques11 (1961)

  15. Grothendieck, A.: Eléments de géométrie algébrique IV. Publ. Inst. Hautes Études Scientifiques24 (1964)

  16. Karoubi, M.: Localisation des formes quadratiques. Ann. Sci. École Norm. Sup.4, 359–404 (1974)

    Google Scholar 

  17. Maazen, H., Stienstra, J.: A presentation forK 2 of split radical pairs. J. Pure Appl. Algebra10, 271–294 (1978)

    Google Scholar 

  18. Milnor, J.: Introduction to algebraicK-theory. Annals of Mathematics Studies, Vol. 72. Princeton: University Press 1971

    Google Scholar 

  19. Quillen, D.: Higher algebraicK-theory I. Lecture Notes in Mathematics, 341, pp. 85–147. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  20. Stienstra, J.: Deformations of a second Chow group. Thesis, Utrecht (1978)

    Google Scholar 

  21. Vorst, T.: Polynomial extensions and excision forK 1. Math. Ann. (in press, 1979)

  22. Weibel, C.A.: Homotopy in algebraicK-theory. Thesis, Chicago (1977)

    Google Scholar 

References

  1. Kallen, W.L.J. van der: Another presentation for Steinberg groups. Indag. Math.39, 304–312 (1977)

    Google Scholar 

  2. Keune, F.: The relativization ofK 2. J. Algebra54, 159–177 (1978)

    Google Scholar 

  3. Loday, J.: Cohomologie et groupe de Steinberg relatifs. J. Algebra54, 178–202 (1978)

    Google Scholar 

Download references

Author information

Author notes

  1. Ton Vorst

    Present address: Faculteit der Economische Wetenschappen, Erasmus Universiteit Rotterdam, Burgemeester Oudlaan 59, Rotterdam, Nederland

Authors and Affiliations

  1. Mathematical Institute, State University, Budapest Laan, 2506, Utrecht, The Netherlands

    Ton Vorst

Authors
  1. Ton Vorst
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vorst, T. Localization of theK-theory of polynomial extensions. Math. Ann. 244, 33–53 (1979). https://doi.org/10.1007/BF01420335

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01420335

Keywords

Search

Navigation