Skip to main content
SpringerLink
Log in

K’-Theory of Noetherian schemes

  • Conference paper
  • First Online:
Algebraic K-Theory Evanston 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 854))

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

Access this chapter

Log in via an institution
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.

References

  1. H. Bass, Some problems in "classical" algebraic K-theory in "Classical" Algebraic K-Theory and Connections with Arithmetic, Lecture Notes in Mathematics, Vol. 342, Springer-Verlag, New York, 1973.

    Chapter  Google Scholar 

  2. S. Gersten, Some Exact Sequences in the Higher K-theory of Rings, in Higher K-Theories, Lecture Notes in Mathematics, Vol. 341, Springer-Verlag, New York, 1973.

    Google Scholar 

  3. H. Gillet, Riemann Roch Theorems for Higher Algebraic K-Theory, preprint.

    Google Scholar 

  4. D. Grayson, Products in K-theory and intersecting algebraic cycles, Inv. Math. 47(1978), 71–84.

    Article  MathSciNet  MATH  Google Scholar 

  5. R. Hartshorne, Algebraic Geometry, Springer-Verlag, New York, 1978.

    MATH  Google Scholar 

  6. J. L. Loday, K-théorie algébrique et représentations de groupes, Ann. Sci. Ecole Norm. Sup. (4), 9(1976), 309–377.

    MathSciNet  MATH  Google Scholar 

  7. H. Matsumura, Commutative Algebra, W. A. Benjamin, New York, 1970.

    MATH  Google Scholar 

  8. J. Milnor, Introduction to Algebraic K-Theory, Ann. of Math. Study #72, Princeton University Press, Princeton, 1971.

    MATH  Google Scholar 

  9. M. Nagata, Local Rings, John Wiley, New York, 1962.

    MATH  Google Scholar 

  10. D. Quillen, On the cohomology and K-theory of the general linear groups over a finite field, Ann. of Math. 96(1972), 552–586.

    Article  MathSciNet  MATH  Google Scholar 

  11. D. Quillen, Higher algebraic K-theory I, in Higher K-Theories, Lecture Notes in Mathematics, Vol. 341, Springer-Verlag, New York, 1973.

    Google Scholar 

  12. J. P. Serre, Corps Locaux, Hermann, Paris, 1968.

    MATH  Google Scholar 

  13. C. Sherman, The K-theory of an equicharacteristic discrete valuation ring injects into the K-theory of its field of quotients, Pac. J. of Math., 74 (1978), 497–499.

    Article  MathSciNet  MATH  Google Scholar 

  14. C. Sherman, Some Splitting Results in the K-Theory of Rings, Amer. J. Math., 101(1979), 609–632.

    Article  MathSciNet  MATH  Google Scholar 

  15. C. Sherman, K-Cohomology of Regular Schemes, Comm. in Alg. 7(10) (1979), 999–1027.

    Article  MathSciNet  MATH  Google Scholar 

  16. C. Sherman, Gersten's Conjecture for Arithmetic Surfaces, J. Pure and Appl. Alg. 14(1979), 167–174.

    Article  MathSciNet  MATH  Google Scholar 

  17. C. Sherman, Some Theorems on the K-Theory of Coherent Sheaves, Comm. in Alg. 7(14) (1979), 1489–1508.

    Article  MathSciNet  MATH  Google Scholar 

  18. C. Sherman, Cartan Maps, Clean Rings, and Unique Factorization, to appear in J. of Alg.

    Google Scholar 

  19. C Soulé, K-theorie des anneaux d'entiers de corps de nombres et cohomologie étale, Inv. Math. 55(1979), 251–295.

    Article  MATH  Google Scholar 

  20. F. Waldhausen, Algebraic K-theory of generalized free products, I and II, Ann. of Math. 108(1978), 135–204, 205–256.

    Article  MathSciNet  MATH  Google Scholar 

  21. K. Dennis and M. Stein, K2 of discrete valuation rings, Adv. in Math. 18 (1975), 182–238.

    Article  MathSciNet  MATH  Google Scholar 

  22. A. Grothendieck, Classes de faisceaux et theoreme de Riemann-Roch, in Theorie des Intersections et Theoreme de Riemann-Roch (SGA 6), Lecture Notes in Mathematics, Vol. 225, Springer-Verlag, New York, 1971.

    Google Scholar 

Download references

Authors
  1. Clayton Sherman
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Eric M. Friedlander Michael R. Stein

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Sherman, C. (1981). K’-Theory of Noetherian schemes. In: Friedlander, E.M., Stein, M.R. (eds) Algebraic K-Theory Evanston 1980. Lecture Notes in Mathematics, vol 854. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089529

Download citation

  • DOI: https://doi.org/10.1007/BFb0089529

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10698-2

  • Online ISBN: 978-3-540-38646-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation