previous :: next
$p$-adic $K$-theory of elliptic curves
Christophe Soulé
Source: Duke Math. J. Volume 54, Number 1
(1987), 249-269.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077305513
Mathematical Reviews number (MathSciNet): MR885785
Zentralblatt MATH identifier: 0627.14010
Digital Object Identifier: doi:10.1215/S0012-7094-87-05415-9
References
[1] A. A. Beĭ linson, Higher regulators and values of $L$-functions, Current problems in mathematics, Vol. 24, Itogi Nauki i Tekhniki, Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1984, pp. 181–238.
Mathematical Reviews (MathSciNet): MR86h:11103
Zentralblatt MATH: 0588.14013
[2] S. Bloch, Lectures on algebraic cycles, Duke University Mathematics Series, IV, Duke University Mathematics Department, Durham, N.C., 1980.
Mathematical Reviews (MathSciNet): MR82e:14012
Zentralblatt MATH: 0436.14003
[3] S. Bloch and A. Ogus, Gersten's conjecture and the homology of schemes, Ann. Sci. École Norm. Sup. (4) 7 (1974), 181–201 (1975).
Mathematical Reviews (MathSciNet): MR54:318
Zentralblatt MATH: 0307.14008
[4] J. Coates and A. Wiles, On the conjecture of Birch and Swinnerton-Dyer, Invent. Math. 39 (1977), no. 3, 223–251.
Mathematical Reviews (MathSciNet): MR57:3134
Zentralblatt MATH: 0359.14009
Digital Object Identifier: doi:10.1007/BF01402975
[5] W. Dwyer and E. Friedlander, Algebraic and Etale $K$-theory, to appear in Trans. Amer. Math. Soc.
[6] William G. Dwyer and Eric M. Friedlander, Some remarks on the $K$-theory of fields, Applications of algebraic $K$-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983), Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 149–158.
Mathematical Reviews (MathSciNet): MR88a:18016
Zentralblatt MATH: 0603.18005
[7] Benedict H. Gross, Arithmetic on elliptic curves with complex multiplication, Lecture Notes in Mathematics, vol. 776, Springer, Berlin, 1980.
Mathematical Reviews (MathSciNet): MR81f:10041
Zentralblatt MATH: 0433.14032
[8] N. M. Katz, $p$-adic interpolation of real analytic Eisenstein series, Ann. of Math. (2) 104 (1976), no. 3, 459–571.
Mathematical Reviews (MathSciNet): MR58:22071
Zentralblatt MATH: 0354.14007
Digital Object Identifier: doi:10.2307/1970966
JSTOR: links.jstor.org
[9] S. Lang, Cyclotomic fields, Graduate Texts in Mathematics, vol. 59, Springer-Verlag, New York, 1978.
Mathematical Reviews (MathSciNet): MR58:5578
Zentralblatt MATH: 0395.12005
[10] M. M. Vishik and Y. Manin, $p$-adic Hecke series of imaginary quadratic fields, Mat. Sb. (N.S.) 95(137) (1974), 357–383, 471.
Mathematical Reviews (MathSciNet): MR51:8078
[11] A. Merkurjev and A. Suslin, $K$-cohomology of Severi-Brauer varieties and norm residue homomorphism, Izv. Akad. Nauk SSSR Ser. Mat. 46 (1982), 1011–1046.
Zentralblatt MATH: 0525.18008
Mathematical Reviews (MathSciNet): MR675529
[12] J. Neisendorfer, Primary homotopy theory, Mem. Amer. Math. Soc. 25 (1980), no. 232, iv+67.
Mathematical Reviews (MathSciNet): MR81b:55035
Zentralblatt MATH: 0446.55002
[13] D. Quillen, Higher algebraic $K$-theory. I, Algebraic $K$-theory, I: Higher $K$-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), Springer, Berlin, 1973, 85–147. Lecture Notes in Math., Vol. 341.
Mathematical Reviews (MathSciNet): MR49:2895
Zentralblatt MATH: 0292.18004
[14] J.-P. Serre, Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures), 1969–1970, Sém. Delange-Pisot-Poitou, Exposé 19.
[15] C. Soulé, On higher $p$-adic regulators, Algebraic $K$-theory, Evanston 1980 (Proc. Conf., Northwestern Univ., Evanston, Ill., 1980), Lecture Notes in Math., vol. 854, Springer, Berlin, 1981, pp. 372–401.
Mathematical Reviews (MathSciNet): MR83b:12013
Zentralblatt MATH: 0488.12008
[16] C. Soulé, Eléments cyclotomiques en $K$-théorie, to appear in Astérisque.
Mathematical Reviews (MathSciNet): MR891430
[17] C. Soulé, Operations on étale $K$-theory. Applications, Algebraic $K$-theory, Part I (Oberwolfach, 1980), Lecture Notes in Math., vol. 966, Springer, Berlin, 1982, pp. 271–303.
Mathematical Reviews (MathSciNet): MR85b:18011
Zentralblatt MATH: 0507.14013
[18] C. Soulé, Opérations en $K$-théorie algébrique, Canad. J. Math. 37 (1985), no. 3, 488–550.
Mathematical Reviews (MathSciNet): MR87b:18013
Zentralblatt MATH: 0575.14015
[19] C. Soulé, The rank of étale cohomology of varieties over $p$-adic or number fields, Compositio Math. 53 (1984), no. 1, 113–131.
Mathematical Reviews (MathSciNet): MR86b:14013
Zentralblatt MATH: 0589.14019
[20] C. Soulé, $K$-théorie $p$-adique des courbes elliptiques, preprint, 1983.
[21] J. Tate, Letter from Tate to Iwasawa on a relation between $K\sb2$ and Galois cohomology, Algebraic $K$-theory, II: “Classical” algebraic $K$-theory and connections with arithmetic (Proc. Conf., Seattle Res. Center, Battelle Memorial Inst., 1972), Springer, Berlin, 1973, 524–527. Lecture Notes in Math., Vol. 342.
Mathematical Reviews (MathSciNet): MR55:2846
Zentralblatt MATH: 0284.12004
[22] J. Tate, Duality theorems in Galois cohomology over number fields, Proc. Internat. Congr. Mathematicians (Stockholm, 1962), Inst. Mittag-Leffler, Stockholm-Djursholm, 1962, pp. 288–295.
Mathematical Reviews (MathSciNet): MR31:168
Zentralblatt MATH: 0126.07002
[23] R. W. Thomason, Riemann-Roch for algebraic versus topological $K$-theory, J. Pure Appl. Algebra 27 (1983), no. 1, 87–109.
Mathematical Reviews (MathSciNet): MR85c:14013
Zentralblatt MATH: 0545.14007
Digital Object Identifier: doi:10.1016/0022-4049(83)90032-4
[24] R. W. Thomason, Bott stability in algebraic $K$-theory, Applications of algebraic $K$-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983), Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 389–406.
Mathematical Reviews (MathSciNet): MR87m:18022
Zentralblatt MATH: 0594.18012
[25] R. I. Yager, A Kummer criterion for imaginary quadratic fields, Compositio Math. 47 (1982), no. 1, 31–42.
Mathematical Reviews (MathSciNet): MR83k:12008
Zentralblatt MATH: 0506.12008
[26] R. I. Yager, On two variable $p$-adic $L$-functions, Ann. of Math. (2) 115 (1982), no. 2, 411–449.
Mathematical Reviews (MathSciNet): MR84b:14020
Zentralblatt MATH: 0496.12010
Digital Object Identifier: doi:10.2307/1971398
JSTOR: links.jstor.org
previous :: next
Duke Mathematical Journal
