Skip to main content
SpringerLink
Log in

On the computation of Hilbert-Samuel series and multiplicity

  • Full Papers
  • Conference paper
  • First Online:
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 357))

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bayer D.A., "The division algorithm and the Hilbert scheme", Ph.D. Harvard (1982).

    Google Scholar 

  2. Boda E.-Vogel W., "On system of parameters, local intersection multiplicity and Bézout theorem", Proc.Amer.Math.Soc. 78, (1980), 1–7.

    Google Scholar 

  3. Bourbaki N., "Algèbre commutative, Ch. 8 et 9", Masson, Paris (1983).

    Google Scholar 

  4. Buchberger B., "Grőbner bases:an algorithmic method in polynomial ideal theory", in Recent trends in multidimensional systems theory, Bose N.K.Reidel (1985).

    Google Scholar 

  5. Gianni P.-Trager B.-Zacharias G., "Grőbner bases and primary decomposition of polynomial ideals", preprint (Dec.1984).

    Google Scholar 

  6. Grieco M.-Zucchetti B., "How to decide whether a polynomial ideal is primary or not", preprint (1987).

    Google Scholar 

  7. Matsumura H., "Commutative ring theory", Cambridge Univ.Press (1986).

    Google Scholar 

  8. Mora F., "An algorithmic approach to local rings", Proc.Eurocal'85,LNCS 204 (1985).

    Google Scholar 

  9. Northcott D.G., "Lessons on rings, modules and multiplicities", Cambridge Univ. Press (1968).

    Google Scholar 

  10. Samuel P., "Méthodes d'Algèbre abstraite en géométrie algébrique", Springer, Berlin (1967).

    Google Scholar 

  11. Vogel W., "Zur Theorie der charakteristischen Hilbertfunktion in homogenen Ringen űber Ringen mit Vielfachkettensatz", Math.Nachr. 33, (1967), 39–60.

    Google Scholar 

  12. Zariski O.-Samuel P., "Commutative Algebra Vol.I", Princeton (1958).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Scienze Matematiche, Università di Trieste, I-34100, Trieste, Italy

    Walter Spangher

Authors
  1. Walter Spangher
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Teo Mora

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Spangher, W. (1989). On the computation of Hilbert-Samuel series and multiplicity. In: Mora, T. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1988. Lecture Notes in Computer Science, vol 357. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51083-4_76

Download citation

  • DOI: https://doi.org/10.1007/3-540-51083-4_76

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51083-3

  • Online ISBN: 978-3-540-46152-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation