Skip to main content
SpringerLink
Log in

On the index of the Weierstrass semigroup of a pair of points on a curve

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract

We obtain the exact formulas for the cardinality of the complement of the Weierstrass semigroup of a pair (p, q) of points on a curveC. Using these formulas we obtain lower bounds and upper bounds on the cardinalities of such sets. Moreover, considering examples, we show that these bounds are sharp.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. E.Arbarello, M.Cornalba, P.Griffiths, and J.Harris, Geometry of Algebraic Curves I. Berlin-Heidelberg-New York 1985.

  2. R. J.Walker, Algebraic Curves, Princeton 1950.

Download references

Author information

Author notes

  1. Seon Jeong Kim

    Present address: Department of Mathematics, Gyeongsang National University, 660-701, Chinju, Korea

Authors and Affiliations

    Authors
    1. Seon Jeong Kim
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    Partially supported by Korea Science and Engineering Foundation and by Global Analysis Research Center.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Kim, S.J. On the index of the Weierstrass semigroup of a pair of points on a curve. Arch. Math 62, 73–82 (1994). https://doi.org/10.1007/BF01200442

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01200442

    Keywords

    Search

    Navigation