Skip to main content
Log in

An algebraic approach to the residues in algebraic geometry

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Atiyah, M.F., MacDonald, I.G.: Introduction to commutative algebra. Reading, Mass: Addison-Wesley 1969

    MATH  Google Scholar 

  2. Elzein, F.: Residus en géométrie algébrique. Compos. Math.23, 379–405 (1971)

    MATH  MathSciNet  Google Scholar 

  3. Hartshorne, R.: Algebraic geometry. Berlin Heidelberg New York: Springer 1977

    MATH  Google Scholar 

  4. Harshorne, R.: Residues and duality. (Lect. Notes Math. vol. 20), Berlin Heidelberg New York: Springer 1966

    Google Scholar 

  5. Jacobson, N.: Lectures in Abstract Algebra. 3—Theory of fields and Galois theory. (Grad. Texts Math., vol. 32), Berlin Heidelberg New York: Springer 1980

    Google Scholar 

  6. Kawahara, Y., Uchibori, T.: On residues of differential forms in algebraic function fields of two variables. TRU Math.17, 235–253 (1981)

    MATH  MathSciNet  Google Scholar 

  7. Kawahara, Y., Uchibori, T.: On residues of differential forms in algebraic function fields of several variables. TRU Math.21, 173–180 (1985)

    MATH  MathSciNet  Google Scholar 

  8. Kunz, E.: Arithmetische Anwendungen der Differentialalgebren. J. Reine Angew. Math.214/215, 276–320 (1964)

    MathSciNet  Google Scholar 

  9. Lamadze, V.G.: On residues in algebraic geometry. Math. USSR, Izv.19, 495–520 (1982)

    Article  Google Scholar 

  10. Matsumura, H.: Commutative Algebra. Menlo Park: Benjamin/Cummings 1980

    MATH  Google Scholar 

  11. Nakai, Y.: Notes on differential theoretic characterization of regular local rings. J. Math. Soc. Japan20, 268–274 (1968)

    Article  MATH  MathSciNet  Google Scholar 

  12. Paršin, A.N.: On the arithmetic of two-dimensional schemes. I. Distributions and residues. Math. USSR, Izv.10, 695–729 (1976)

    Article  Google Scholar 

  13. Serre, J.P.: Groupes algébriques et corps de classes. Paris: Hermann 1959

    MATH  Google Scholar 

  14. Zariski, O., Samuel, P.: Commutative Algebra, vol. 2 Princeton: Van Nostrand 1960

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tang, Z. An algebraic approach to the residues in algebraic geometry. Math Z 203, 1–8 (1990). https://doi.org/10.1007/BF02570719

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02570719

Keywords

Navigation