Skip to main content
SpringerLink
Log in

Zeta functions and cartier divisors on singular curves over finite fields

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

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

References

  1. Atiyah M.F., Macdonald I.G., Introduction to commutative algebra, Addison-Wesley, 1969.

  2. Delgado F.,Gorenstein curves and symmetry of the semigroup of values, Manuscripta math., 336, 165–184, 1982.

    Google Scholar 

  3. Galkin V.,Zeta function for some one-dimensional rings, Izv. akad. Nauk. SSSR Ser. Math., 37, 3–19, 1973.

    MATH  MathSciNet  Google Scholar 

  4. Garcia A.,Semigroups associated to singular points of plane curves, J. reine. Angew. Math., 336, 165–184, 1982.

    MATH  MathSciNet  Google Scholar 

  5. Green B.,Functional equations for zeta functions of non-Gorenstein orders in global fields, Manuscripta Math. 64, 485–502, 1984.

    Article  Google Scholar 

  6. Hartshorne R.,Algebraic geometry, Springer-Verlag 1973.

  7. Hironaka H.,On the arithmetic genera and effective genera of algebraic curves, Mem. Kyoto, 30, 177–195, 1957.

    MATH  MathSciNet  Google Scholar 

  8. Herzog J., Kunz E.,Der kanonische modul eines Cohen-Macaulay-ring, LNM 238.

  9. Northcott D.,A general theory of one-dimensional local rings, Proc. Glasgow Math. Soc.,2, 159–169, 1957.

    Article  MathSciNet  Google Scholar 

  10. Rosenlicht M.,Equivalence relations on algebraic curves, Ann. of Math., 56, 169–191, 1952.

    Article  MathSciNet  Google Scholar 

  11. Rosenlicht M.,Generalized jacobian varieties, Ann. of Math., 59, 503–530, 1954.

    Article  MathSciNet  Google Scholar 

  12. Serre J.P.,Algebraic groups and class fields, Springer-Verlag, 1988.

  13. Stöhr K.O.,On poles of regular differentials of singular curves, Bol. Soc. Bras. Mat., 24, 105–136, 1993.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Escuela de Matemáticas, Universidad Industrial de Santander, A.A. 678, Bucaramanga, Colombia

    W. A. Zúñiga Galindo

  2. Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, CEP 22460-320, Rio de Janeiro-R.J., Brazil

    W. A. Zúñiga Galindo

Authors
  1. W. A. Zúñiga Galindo
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by CNPq-Brazil and COLCIENCIAS-Colombia

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zúñiga Galindo, W.A. Zeta functions and cartier divisors on singular curves over finite fields. Manuscripta Math 94, 75–88 (1997). https://doi.org/10.1007/BF02677839

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02677839

Keywords

Search

Navigation