References
Artin, E., Tate, J.: Class Field Theory. New York: Benjamin 1968
Bayer, P., Neukirch, J.: On values of zeta functions and l-adic Euler characteristics. Invent. math.50, 35–64 (1978)
Coates, J.: OnK 2 and some classical conjectures in algebraic number theory. Ann. Math.95, 99–116 (1972)
Coates, J.:p-adicL-functions and Iwasawa's theory. Proc. Symp. Durham 1975, pp. 269–353, London-New York-San Francisco: Academic Press 1977
Coates, J.: Hermann-Weyl-Lectures, IAS, Princeton 1979
Coates, J., Lichtenbaum, S.: On l-adic zeta functions. Ann. Math.98, 498–550 (1973)
Deligne, P.: Valeurs de fonctionsL et périodes d'intégrales. Proc. Symp. Pure Math.33 p. 313–346. American Math. Soc. 1979
Federer, L.J., Gross, B.: Regulators and Iwasawa modules. Invent. math.62, 443–457 (1981)
Greenberg, R.: On a certain l-adic representation. Invent. math.21, 117–124 (1973)
Gross, B.: Letter to S. Bloch, 1980
Grothendieck, A.: Le groupe de Brauer III. Dix exposés sur la cohomologie des schémas, pp. 46–188. Amsterdam: North-Holland 1968
Imai, H.: A remark on the rational points of abelian varieties with values in cyclotomic ℤ p . Proc. Japan Acad.51, 12–16 (1975)
Iwasawa, K.: On ℤ1 of algebraic number fields. Ann. Math.98, 246–326 (1973)
Lichtenbaum, S.: Values of zeta andL-functions at zero. Astérisque24–25, 133–138 (1975)
Lubin, J., Rosen, M.: The norm map for ordinary abelian varieties. J. Algebra52, 236–240 (1978)
Mazur, B.: Local flat duality. Amer. J. Math.92, 343–361 (1970)
Mazur, B.: Rational points of abelian varieties with values in towers of number fields. Invent. math.18, 183–266 (1972)
Mazur, B.: Notes on étale cohomology of number fields. Ann. sci. Ec. Norm. Sup.6, 521–556 (1973)
Mazur, B.: Modular curves and the Eisenstein ideal. Publ. Math. IHES47, 33–186 (1977)
Mazur, B., Roberts L.: Local Euler characteristics Invent. math.9, 201–234 (1970)
Mazur, B., Swinnerton-Dyer, P.: Arithmetic of Weil curves. Invent. math.25, 1–61 (1974)
Milne, J.S.: Etale cohomology. Princeton: Princeton Univ. Press 1980
Mumford, D.: Abelian varieties. Oxford Univ. Press 1974
Neukirch, J.: Klassenkörpertheorie. Mannheim: Bibliographisches Institut 1969
Ono, T.: Arithmetic of algebraic tori. Ann. Math.74, 101–139 (1961)
Perrin-Riou, B.: Groupe de Selmer d'une courbe elliptique à multiplication complexe. Compositio Math.43, 387–417 (1981)
Raynaud, M.: Modêles de Néron. C.R. Acad. Sci. Paris262, 345–347 (1966)
Rubin, K.: On the arithmetic of CM elliptic curves in ℤp-extensions. Harvard Thesis 1980
Schneider, P.: Über gewisse Galoiscohomologiegruppen. Math. Z.168, 181–205 (1979)
Schneider, P.: Die Galoiscohomologiep-adischer Darstellungen über Zahlkörpern. Regensburg: Dissertation 1980
Serre, J-P.: Cohomologie Galoisienne. Lecture Notes in Math., vol. 5. Berlin-Heidelberg-New York: Springer 1964
Serre, J-P.: Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures). Sém. Delange-Pisot-Poitou19, 1969/70
Shyr, J.-M.: A generalization of Dirichlet's unit theorem. J. Number Theory9, 213–217 (1977)
Soulé, C.:K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale. Invent. math.55, 251–295 (1979)
Tamme, G.: Einführung in die étale Kohomologie. Der Regensburger Trichter Bd. 17. Regensburg 1979
Tate, J.: Duality theorems in Galois cohomology over number fields. Proc. Int. Congress Math. Stockholm 1962, pp. 288–295
Tate, J.: On the conjecture of Birch and Swinnerton-Dyer and a geometric analog. Sém. Bourbaki 1965/66, exp.306
Perrin-Riou, B.: Descente infinie et hauteurp-adique sur les courbes elliptiques à multiplication complexe. Invent. math. 70, 369–398 (1982)
Schneider, P.:p-Adic Height Pairings I. Invent. math.69, 401–409 (1982) EGA (Eléments de Géométrie Algébrique) I: Berlin-Heidelberg-New York Springer 1971, IV: Publ. Math. IHES20 (1964),24 (1965),28 (1966),32 (1967) SGA (Séminaire de Géométrie Algébrique) 3I: Lecture Notes in Math. 151. Berlin-Heidelberg-New York: Springer 1970, 4: Ibidem269, 270, 305 (1972–73). 197I: Ibidem288 (1972)
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This work was partially done, while the author was supported by DFG.
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Schneider, P. IwasawaL-functions of varieties over algebraic number fields. Invent Math 71, 251–293 (1983). https://doi.org/10.1007/BF01389099
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DOI: https://doi.org/10.1007/BF01389099