Skip to main content

The conductor of some one-dimensional rings and the computation of their K-theory groups

  • Part I
  • Conference paper
  • First Online:
Algebraic K-Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 966))

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.

References

  1. S. Geller and L.G. Roberts, Kahler differentials and excision for curves, J. Pure Appl. Algebra 17(1980), 85–112.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Graham, Continuous symbols on fields of formal power series, Lecture Notes in Math., Vol. 342, Springer-Verlag, Berlin, pp. 474–486, 1973.

    Google Scholar 

  3. A. Grothendieck and J. Dieudonné, Elèments de Gèomètrie Algèbrique, IV, Quatriem Partie, I.H.E.S., Publ. Math. 32, Paris, 1967

    Google Scholar 

  4. S. K. Gupta, SK1 of s-lines in /An+1, Comm. Algebra, to appear.

    Google Scholar 

  5. J. Lipman, Stable ideals and Arf rings, Amer. J. Math., 93 (1971), 649–685.

    Article  MathSciNet  MATH  Google Scholar 

  6. E. Matlis, One-dimensional Cohen-Macaulay rings, Lecture Notes in Math., Vol. 327, Springer-Verlag, Berlin, 1970.

    MATH  Google Scholar 

  7. F. Orecchia, Sui gruppi di Picard di certe algebre finite non integre, Ann. Univ. Ferrara, Sez, VII, 21 (1975), 25–36.

    MathSciNet  MATH  Google Scholar 

  8. F. Orecchia, Sui gruppi delle unità e i gruppi di Picard relativi a una varietà affine ridotta e alla sua normalizzata, Boll. Un. Mat. Ital. (5) 18-B (1977), 1–2.

    MathSciNet  MATH  Google Scholar 

  9. F. Orecchia, Su alcuni gruppi della K-Teoria delle varietà affini, Ann. di Matem. pura ed applicata, (IV), Vol. CXXIII, pp. 203–217 (1980).

    Article  MathSciNet  MATH  Google Scholar 

  10. F. Orecchia, One-dimensional local rings with reduced associated graded ring and their Hilbert function, Manuscripta Math., 32 (1980), 391–405.

    Article  MathSciNet  MATH  Google Scholar 

  11. F. Orecchia, Points in generic position and conductors of curves with ordinary singularities, J. London Math. Soc., to appear.

    Google Scholar 

  12. L.G. Roberts, SK1 of n lines in the plane, Trans. Amer. Math. Soc. 222, (1976), 353–365.

    MathSciNet  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

Orecchia, F. (1982). The conductor of some one-dimensional rings and the computation of their K-theory groups. In: Dennis, R.K. (eds) Algebraic K-Theory. Lecture Notes in Mathematics, vol 966. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062175

Download citation

  • DOI: https://doi.org/10.1007/BFb0062175

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11965-4

  • Online ISBN: 978-3-540-39553-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics