Skip to main content

Generalized hilbert functions of Cohen-Macaulay varieties

  • Conference paper
  • First Online:
Algebraic Geometry — Open Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 997))

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. A.V. GERAMITA-P. MAROSCIA, The ideal of forms vanishing at a finite set of points inn, Queen's Math. Preprint, No. 1981–5

    Google Scholar 

  2. A.V. GERAMITA-F. ORECCHIA, Minimally generating ideals defining certain tangent cones, Journal of Algebra, 78, 36–57 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  3. A.V. GERAMITA-C. WEIBEL, On the Cohen-Macaulay and Buchsbaum propertties for union of lines inn, Queen's Math. Preprint, No. 1982–16

    Google Scholar 

  4. R. HATSHORNE-A. HIRSHOWITZ, Droites en position generale dans l'espace projectif (Preprint)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  6. F.S. MACAULAY, The algebraic theory of modular systems, Cambridge University, 1916

    Google Scholar 

  7. J. MAURER, Eine variante der Moh-Curven (Preprint)

    Google Scholar 

  8. T.T. MOH, On the unboundedness of generators of prime ideals in power series rings of three variables, J. Math. Soc. Japan, 26, 722–734, (1974)

    Article  MathSciNet  MATH  Google Scholar 

  9. F. ORECCHIA, Ordinary singulanities of algebraic curves, Canad. Math. Bull., 24, (4), 423–431, (1981)

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  11. F. ORECCHIA, Maximal Hilbert functions of one-dimensional local rings, Proceedings of the Trento Conference on Commutative Algebra, Lect. Notes in Pure and applied Math., Marcel Dekker, 223–233, 1983

    Google Scholar 

  12. J. SALLY, Number of generators of ideals in local rings, Lect. Notes in Pure and Applied Math., Marcel Dekker, 1978

    Google Scholar 

  13. P. SCHENZEL, Über die freien auflösungen extremaler Cohen-Macaulay ringe, Journal of Algebra, 64, No. 1, 93–101, (1980)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Ciro Ciliberto Franco Ghione Ferruccio Orecchia

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Orecchia, F. (1983). Generalized hilbert functions of Cohen-Macaulay varieties. In: Ciliberto, C., Ghione, F., Orecchia, F. (eds) Algebraic Geometry — Open Problems. Lecture Notes in Mathematics, vol 997. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061653

Download citation

  • DOI: https://doi.org/10.1007/BFb0061653

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12320-0

  • Online ISBN: 978-3-540-40047-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics