References
Bloch, S.: Lectures on algebraic cycles, Duke Unly, Math, Series, 1980
Carlitz, L.: On factorizable polynomials in several indeterminates. Duke Math. J. 2, 660–670 (1936)
Carlitz, L.: The distribution of irreducible polynomials in several indeterminates. Illinois J. Math., 7, 371–375 (1963)
Carlitz, L.: The distribution of irreducible polynomials in several indeterminates II. Canadian J. Math., 17, 261–166 (1965)
Chow, W.L., van der Waerden, B.L.: Zur Algebraischen Geometrie. IX, Math. Ann., 113, 692–704 (1936)
Cohen, S.D.: The distribution of irreducible polynomials in several indeterminates over a finite field. Proc. Edinburgh Math. Soc. (Ser. 2), 16, 1–17 (1968)
Cohen, S.D.: Further arithmetic functions in finite fields. Proc. Edinburgh Math. Soc. (Ser. 2), 16, 349–364 (1969)
Deligne, P., Katz, N.M.: Groupes de Monodromie en Géométrie Algébrique. SGA II, Springer Lecture Notes, 340, 1973
Dwork, B.: On the rationality of zeta functions. Amer. J. Math., 82, 631–648 (1960)
Denef, J.: The rationality of Poincare series associated to thep-adic points on a variety. Invent. Math., 77, 1–23 (1984)
Franke, J., Manin, Y.I., Tschinkel, Y.: Rational points of bounded height on Fano varieties. Invent. Math., 95, 421–436 (1989)
Friendlander, E.: Homology using Chow varieties. Bull. Amer. Math. Soc., 20, 49–53 (1989)
Fulton, W.: Intersection Theory. Berlin Heidelberg New York Tokyo: Springer 1984
Grothendieck, A.: Cohomologie Locale des Faisceaux Cohérents et Théorèmes de Lefschetz Locaux et Globaux. SGA 2, Noth-Holland, Amsterdam, 1968
Hartshorne, R.: Equivalence relations on algebraic cycles and subvarieties of small codimension. In Algebraic Geometry, Arcata 1974, Amer. Math. Soc. Proc. Symp. Pure Math. 29, 129–164 (1975)
Hartshorne, R.: Algebraic Geometry. Berlin Heidelberg New York, Springer 1977
Igusa, J.I.: Lectures on Forms of Higher Degree. Tata Inst. Fund. Research, Bombay, 1978
Lang, S., Néron, A.: Rational points of abelian varieties over function fields. Amer. J. Math., 81, 95–118 (1959)
Lang, S.: Introduction to Algebraic Geometry. Addison-Wesley Publ. Comp. Inc., 1972
Lawson, B.: Algebraic cycles and homotopy theory. Ann. Math., 129, 253–291 (1989)
Lidl, R., Niedereiter, H.: Finite Fields. Encycl. Math and Its Appl., Addison-Wesley Publ. Comp. Inc., 1983
Lipman, J.: Unique factorization in complete local rings. In Algebraic Geometry, Arcata 1974, Amer. Math. Soc. Proc. Symp. Pure Math. 29, 531–546 (1975)
Koblitz N.:p-adic Number,p-adic Analysis and Zeta-functions. Graduate Texts in Math., Berlin Heidelberg New York: Springer 1977
Koblitz, N.:p-adic Analysis: A Short Course on Recent Work. Cambridge University Press, 1980
Kleiman, S.L.: Toward a numerical theory of ampleness. Ann. Math., 84, 293–344 (1966)
Mazur, B.: Frobenius and the Hodge filtration, Bull. Amer. Math. Soc., 78, 653–667 (1972)
Monsky, P.:p-adic Analysis and Zeta Functions. Kinokuniya Book Store Cor. Ltd. Tokyo, 1970
Mumford, D.: Abelian Varieties. Oxford University Press, 1974
Serre, J.P.: Quelques applications du théorème densité de Chebotarev. Publ. Math. IHES, 54, 123–201 (1981)
Tate, J.: Algebraic cycles and poles of zeta functions. In Arithmetic Algebraic Geometry (Schilling, ed.), Harper and Row, New York, 93–110 (1965)
Tate, J.: On the conjecture of Birch and Swinnerton-Dyer and a geometric analog. In Dix Exposés sur la cohomologie des schémas, North Holland, 189–214 (1968)
Wan, D.: Hilbert sets and zeta functions over finite fields. Crelles Journal, to appear
Weil, A.: Number of solutions of equations over finite fields Bull. Amer. Math. Soc. 55, 497–508 (1949)
Zariski, O.: The theorem of Riemann-Roch for high multiple of an effective divisor on an algebraic surface. Ann. Math., 76, 560–615 (1962)
Zariski, O.: Interprétations algébrico-géométriques du quatorzième problème de Hilbert. Bull. Soc. Math., 78, 155–168 (1954)
Author information
Authors and Affiliations
Additional information
This article was processed by the author using the Springer-Verlag TEX mamath macro package 1990
Rights and permissions
About this article
Cite this article
Wan, D. Zeta functions of algebraic cycles over finite fields. Manuscripta Math 74, 413–444 (1992). https://doi.org/10.1007/BF02567679
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02567679