Skip to main content
SpringerLink
Log in
Book cover

Commutative Algebra pp 21–31Cite as

On short graded algebras

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1430))

This is a preview of subscription content, 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   29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Ballico, Generators for the homogeneous ideal of s general points inP3, J.Alg. 106 (1987), 46–52.

    Article  MathSciNet  MATH  Google Scholar 

  2. W.C. Brown and J.W. Kerr, Derivations and the Cohen-Macaulay type of points in generic position in n-space, J.Alg. 112 (1988), 159–172.

    Article  MathSciNet  MATH  Google Scholar 

  3. W.C. Brown, A note on the Cohen-Macaulay type of lines in uniform position inAn+1, Proc. Am. Math. Soc. 87 (1983), 591–595.

    MathSciNet  MATH  Google Scholar 

  4. W.C. Brown, A note on pure resolution of points in generic position inPn, Rocky Mountain J. Math.. 17 (1987), 479–490.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Elias and G. Valla, Rigid Hilbert functions, J. Pure Appl. Alg. (to appear).

    Google Scholar 

  6. A.V. Geramita, Remarks on the number of generators of some homogeneous ideals, Bull. Sci. Math., 2x Serie 107 (1983), 193–207.

    MathSciNet  MATH  Google Scholar 

  7. A.V. Geramita, D. Gregory and L. Roberts, Monomial ideals and points in the projective space, J.Pure Appl.Alg. 40 (1986), 33–62.

    Article  MathSciNet  MATH  Google Scholar 

  8. A.V. Geramita and F. Orecchia, On the Cohen-Macaulay type of s lines inAn+1, J.Alg. 70 (1981), 116–140.

    Article  MathSciNet  MATH  Google Scholar 

  9. A.V. Geramita and F. Orecchia, Minimally generating ideals defining certain tangent cones, J.Alg. 78 (1982), 36–57.

    Article  MathSciNet  MATH  Google Scholar 

  10. A.V. Geramita and P. Maroscia, The ideals of forms vanishing at a finite set of points inPn, J.Alg. 90 (1984), 528–555.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. Herzog and M. Kuhl, On the Bettinumbers of finite pure and linear resolution, Comm.Al. 12 (1984), 1627–1646.

    Article  MathSciNet  MATH  Google Scholar 

  12. C. Huneke and M. Miller, A note on the multiplicity of Cohen-Macaulay algebras with pure resolutions, Can. J. Math. 37 (1985), 1149–1162.

    Article  MathSciNet  MATH  Google Scholar 

  13. A. Lorenzini, On the Betti numbers of points in the projective space, “Thesis,” Queen's University, Kingston, Ontario, 1987.

    Google Scholar 

  14. A. Lorenzini, Betti numbers of perfect homogeneous ideals, J.Pure Appl.Alg. 60 (1989), 273–288.

    Article  MathSciNet  MATH  Google Scholar 

  15. F. Orecchia, Generalised Hilbert functions of Cohen-Macaulay varieties, “Algebraic Geometry-Open problems,Ravello,” Lect. Notes in Math., Springer, 1980, pp. 376–390.

    Google Scholar 

  16. L.G. Roberts, A conjecture on Cohen-Macaulay type, C.R. Math. Rep. Acad. Sci. Canada 3 (1981), 43–48.

    MathSciNet  MATH  Google Scholar 

  17. M.E. Rossi and G. Valla, Multiplicity and t-isomultiple ideals, Nagoya Math. J. 110 (1988), 81–111.

    Article  MathSciNet  MATH  Google Scholar 

  18. J. Sally, Cohen-Macaulay local rings of embedding dimension e+d−2, J.Alg. 83 (1983), 393–408.

    Article  MathSciNet  MATH  Google Scholar 

  19. P. Schenzel, Uber die freien auflosungen extremaler Cohen-Macaulay-ringe, J.Alg. 64 (1980), 93–101.

    Article  MathSciNet  MATH  Google Scholar 

  20. N.V. Trung and G. Valla, The Cohen-Macaulay type of points in generic position, J.Alg. 125 (1989), 110–119.

    Article  MathSciNet  MATH  Google Scholar 

  21. J.M. Wahl, Equations defining rational singularities, Ann. Sci. Ecole Norm. Sup. 10 (1977), 231–264.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Genova, Via L.B.Alberti 4, 16132, Genova, Italy

    Maria Pia Cavaliere, Maria Evelina Rossi & Giuseppe Valla

Authors
  1. Maria Pia Cavaliere
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Maria Evelina Rossi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Giuseppe Valla
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Winfried Bruns Aron Simis

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Cavaliere, M.P., Rossi, M.E., Valla, G. (1990). On short graded algebras. In: Bruns, W., Simis, A. (eds) Commutative Algebra. Lecture Notes in Mathematics, vol 1430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085534

Download citation

  • DOI: https://doi.org/10.1007/BFb0085534

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52745-9

  • Online ISBN: 978-3-540-47136-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation