References
Atiyah, M.F., MacDonald, I.G.: Introduction to commutative algebra. Reading, Mass: Addison-Wesley 1969
Elzein, F.: Residus en géométrie algébrique. Compos. Math.23, 379–405 (1971)
Hartshorne, R.: Algebraic geometry. Berlin Heidelberg New York: Springer 1977
Harshorne, R.: Residues and duality. (Lect. Notes Math. vol. 20), Berlin Heidelberg New York: Springer 1966
Jacobson, N.: Lectures in Abstract Algebra. 3—Theory of fields and Galois theory. (Grad. Texts Math., vol. 32), Berlin Heidelberg New York: Springer 1980
Kawahara, Y., Uchibori, T.: On residues of differential forms in algebraic function fields of two variables. TRU Math.17, 235–253 (1981)
Kawahara, Y., Uchibori, T.: On residues of differential forms in algebraic function fields of several variables. TRU Math.21, 173–180 (1985)
Kunz, E.: Arithmetische Anwendungen der Differentialalgebren. J. Reine Angew. Math.214/215, 276–320 (1964)
Lamadze, V.G.: On residues in algebraic geometry. Math. USSR, Izv.19, 495–520 (1982)
Matsumura, H.: Commutative Algebra. Menlo Park: Benjamin/Cummings 1980
Nakai, Y.: Notes on differential theoretic characterization of regular local rings. J. Math. Soc. Japan20, 268–274 (1968)
Paršin, A.N.: On the arithmetic of two-dimensional schemes. I. Distributions and residues. Math. USSR, Izv.10, 695–729 (1976)
Serre, J.P.: Groupes algébriques et corps de classes. Paris: Hermann 1959
Zariski, O., Samuel, P.: Commutative Algebra, vol. 2 Princeton: Van Nostrand 1960
Author information
Authors and Affiliations
Rights 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
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02570719