References
[A] Adams, J.F.: On the groupsJ(X) II. Topology3, 137–171 (1965)
[Be1] Beilinson, A.A.: Higher regulators and values ofL-functions of curves. Funct. Anal. Appl.14, 116–118 (1980)
[Be2] Beilinson, A.A.: Higher regulators and values ofL-functions. J. Sov. Math.30, 2036–2070 (1985)
[Be3] Beilinson, A.A.: Higher regulators of modular curves. Contemp. Math.55 (I) 1–34 (1986)
[Be4] Beilinson, A.A.: Notes on absolute Hodge cohomology. Contemp. Math.55, (I) 35–68 (1986)
[Bl1] Bloch, S.: AlgebraicK-theory and zeta functions of elliptic curves. Proc. Int. Cong. of Math., Helsinki, pp. 511–515 (1978)
[Bl2] Bloch, S.: Lectures on algebraic cycles. Duke Univ. Math. series, lectures 8, 9 (1981)
[Bl3] Bloch, S.: Algebraic cycles and higherK-theory. Adv. Math.61, 267–304 (1986)
[Bl4] Bloch, S.: Algebraic cycles and the Beilinson conjectures. Contemp. Math.58, (I) 65–79 (1986)
[Bl-G] Bloch, S., Grayson, D.:K 2 andL-functions of elliptic curves. Computer calculations. Contemp. Math.55, (I) 79–88 (1986)
[Bo] Borel, A.: Stable real cohomology of arithmetic groups. Ann. Sci. Ec. Norm. Super., IV. Ser.7, 235–272 (1974)
[C-Sh] Coleman, R., de Shalit, E.:p-adic regulators on curves and special values ofp-adicL-functions. Invent. Math.93, 239–266 (1988)
[Co] Colmez, P.: Valeurs spéciales de fonctionsL attachées à des charactères de Hecke de typeA 0 d'une extension d'un corps quadratique imaginaire. Thèse
[D1] Deligne, P.: Valeurs de fonctionsL et périodes d'intégrales. Proc. Symp. Pure Math.33, (2) 313–346 (1979)
[D2] Deligne, P.: Théorie de Hodge II. Publ. Math., Inst. Hautes Etud. Sci.40, 5–57 (1972)
[De-W] Deninger, C., Wingberg, K.: On the Beilinson conjectures for elliptic curves with complex multiplication. In: Rapoport, M., Schappacher, N., Schneider, P. (eds.) Beilinson's conjectures on special values ofL-functions. (Perspectives in Math., Vol. 4.) Boston-New York: Academic Press 1988
[De] Deninger, C.: Higher regulators of elliptic curves with complex multiplication. To appear in: Séminaire de Théorie de nombres, edited by Ch. Goldstein, Paris 1986/87
[E-V] Esnault, H., Viehweg, E.: Deligne-Beilinson cohomology. In: Rapoport, M., Schappacher, N., Schneider, P. (eds.) Beilinson's conjectures on special values ofL-functions. (Perspectives in Math., Vol. 4.) Boston-New York: Academic Press 1988
[F] Fujiki, A.: Duality of mixed Hodge structures of algebraic varieties. Publ. Res. Inst. Math. Sci.16, 635–667 (1980)
[G-Sch] Goldstein, Ch., Schappacher, N.: Séries d'Eisenstein et fonctionsL de courbes elliptiques à multiplication complexe. J. Reine Angew. Math.327, 184–218 (1981)
[Gr] Gross, B.: Arithmetic on elliptic curves with complex multiplication. (Lect. Notes Math., Vol. 776). Berlin-Heidelberg-New York: Springer 1980
[G, SGA1] Grothendieck, A., Raynaud, M.: Revêtements étales et groupe fondamental, SGA 1. (Lect. Notes Math., Vol. 224.) Berlin-Heidelberg-New York: Springer 1971
[J] Jannsen, U.: Deligne homology, Hodge 68-1, and motives. In: Rapoport, M., Schappacher, N., Schneider, P. (eds.) Beilinson's conjectures on special values ofL-functions. (Perspectives in Math., Vol. 4.) Boston-New York: Academic Press 1988
[K] Kato, K.: A Hasse principle for two dimensional global fields. J. Reine Angew. Math.366, 142–181 (1986)
[L] Lang, S.: Elliptic functions. New York: Addison-Wesley (1973)
[Ma] Manin, Y.I.: Correspondences, motives and monoidal transformations. Mat. Sbor.77, 475–507 (1970) (AMS Transl.)
[Mi] Milne, J.S.: On the arithmetic of abelian varieties. Invent. Math.17, 177–190 (1972)
[Ro] Rohrlich, D.: Elliptic curves and values ofL-functions. In: Kisilevsky, H., Labute, J. (eds) Proc. of the CMS summer school on algebraic number theory. Montreal (1985)
[Sch] Schneider, P.: Introduction to the Beilinson conjectures. In: Rapoport, M., Schappacher, N., Schneider, P. (eds.) Beilinson's conjectures on special values ofL-functions. (Perspectives in Math., Vol. 4.) Boston-New York: Academic Press 1988
[S-T] Serre, J.P., Tate, J.: Good reduction of abelian varieties. Ann. Math.88, 492–517 (1968)
[Sh] Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Princeton: Princeton University Press 1971
[So1] Soulé, Ch.: Opérations enK-théorie algébrique. Can. J. Math.37, 488–550 (1985)
[So2] Soulé, Ch.: Régulateurs. Séminaire Bourbaki 37 ème année no 644 (1984/85)
[So3] Soulé, Ch.:p-adicK-theory of elliptic curves. Duke Math. J.54, 249–269 (1987)
[Sp] Spivak, M.: Differential geometry I. Publish or Perish (1970)
[Ta] Tamme, G.: The theorem of Riemann-Roch. In: Rapoport, M., Schappacher N., Schneider, P. (eds.) Beilinson's conjectures on special values ofL-functions. (Perspectives in Math., Vol. 4.) Boston-New York: Academic Press 1988
[T] Tate, J.: On Fourier analysis in number fields and Hecke's zeta function. In: Cassels, J.W.S., Fröhlich, A. (eds.) (Algebraic Number Theory). Washington D.C.: Thompsen Book Comp. Inc. 1967
[W1] Weil, A.: Variétés Abéliennes et Courbes Algébriques. Paris: Hermann 1948
[W2] Weil, A.: Elliptic functions according to Eisenstein and Kronecker, Berlin-Heidelberg-New York: Springer 1976
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Deninger, C. Higher regulators and HeckeL-series of imaginary quadratic fields I. Invent Math 96, 1–69 (1989). https://doi.org/10.1007/BF01393970
Issue Date:
DOI: https://doi.org/10.1007/BF01393970