@article{CM_1996__101_1_1_0,
author = {McConnell, Gary},
title = {On the Iwasawa theory of CM elliptic curves at supersingular primes},
journal = {Compositio Mathematica},
volume = {104},
year = {1996},
pages = {1-19},
mrnumber = {1390830},
zbl = {0864.11054},
language = {en},
url = {http://dml.mathdoc.fr/item/CM_1996__101_1_1_0}
}
McConnell, Gary. On the Iwasawa theory of CM elliptic curves at supersingular primes. Compositio Mathematica, Tome 104 (1996) pp. 1-19. http://gdmltest.u-ga.fr/item/CM_1996__101_1_1_0/
[Bi] : Quelques aspects de la descente sur une courbe elliptique dans le cas de réduction supersingulière, Compos. Math. 58 (1986), 341-369. | Numdam | MR 846910 | Zbl 0604.14017
[Bo] : Commutative Algebra. Hermann, Paris 1972. | MR 360549
[Ca] : Arithmetic on curves of genus 1, IV, J. Reine und Angew. Math., 207 (1962), 234-246. | Zbl 0118.27701
[CGr] and : Kummer theory for abelian varieties over local fields, Inv. Math. 124 (1996), 129-174. | MR 1369413 | Zbl 0858.11032
[CMc] and : On the Iwasawa theory of modular elliptic curves of analytic rank ≤ 1, to appear in Jnl. Lon. Math. Soc. | Zbl 0864.11053
[CW] and : On the Conjecture of Birch and Swinnerton-Dyer, Inv. Math. 39 223-251 (1977). | MR 463176 | Zbl 0359.14009
[deS] : Iwasawa theory for elliptic curves with complex multiplication, Perspectives in Mathematics 3, Academic Press, Boston, 1987. | MR 917944 | Zbl 0674.12004
[Gr1] : On the structure of certain Galois groups, Invent. Math. 47 (1978), 85-99. | MR 504453 | Zbl 0403.12004
[Gr2] : Non-vanishing of certain values of L-functions, in Analytic Number Theory and Diophantine Problems, proceedings of a conference at Oklahoma State University (1984), P.I.M. vol. 70, Birkhäuser Boston 1987. | Zbl 0629.12010
[Gr3] : Iwasawa Theory for p-adic Representations, in Advanced Studies in Pure Math. 17, Kinokuniya & Academic Press (1989), 97-137. | MR 1097613 | Zbl 0739.11045
[G] : Arithmetic on elliptic curves with complex multiplication, Lect. Notes Math. 776, Springer New York (1980). | MR 563921 | Zbl 0433.14032
[Im] : A remark on the rational points of abelian varieties with values in cyclotomic Zl-extensions, Proc. Jap. Acad. 51 (1975), 12-16. | MR 371902 | Zbl 0323.14010
[Ko] : Euler Systems, in The Grothendieck Festschrift, Volume II, P.I.M. 87, Birkhäuser Boston 1990. | MR 1106906 | Zbl 0742.14017
[Mat] : Commutative Ring Theory, C.U.P. Cambridge 1989. | MR 1011461 | Zbl 0666.13002
[Mc1] : On the Iwasawa theory of elliptic curves over cyclotomic fields, Ph.D. thesis, University of Cambridge 1993.
[Mc2] : On a conjecture of Mazur for modular elliptic curves of analytic rank one, to appear.
[McY] and : Arithmetic of CM elliptic curves at supersingular primes, in preparation.
[Mi] : Arithmetic Duality Theorems, Academic Press Orlando (1986). | MR 881804 | Zbl 0613.14019
[P-R1] : Arithmétique des courbes elliptiques et théorie d'lwasawa, thesis, Soc. Math. de France, Mémoire 17 (1984). | Numdam
[P-R2] : Théorie d'lwasawa et hauteurs p-adiques: cas des variétés abéliennes, Séminaire de théorie des nombres de Paris 90/91. | Zbl 0838.11072
[P-R3] : Théorie d'Iwasawa et hauteurs p-adiques, Invent. Math. 109 (1992), 137-185. | MR 1168369 | Zbl 0781.14013
[Ro] : On L-functions of elliptic curves and cyclotomic towers', Invent. Math. 75, 409-423 (1984). | MR 735333 | Zbl 0565.14006
[Ru1] : Elliptic curves with complex multiplication and the Conjecture of Birch and Swinnerton-Dyer, Invent. Math. 64 (1981), 455-470. | MR 632985 | Zbl 0506.14039
[Ru2] : Local units, elliptic units, Heegner points and elliptic curves, Invent. Math. 88 (1987), 405-422. | MR 880958 | Zbl 0623.14006
[Ru3] : On the main conjecture of Iwasawa theory for imaginary quadratic fields, Invent. Math. 93 (1988) 701-713. | MR 952288 | Zbl 0673.12004
[Ru4] The 'Main Conjectures' of Iwasawa theory for imaginary quadratic fields, Invent. Math. 103 (1991), 25-68. | MR 1079839 | Zbl 0737.11030
[Sc] : p-adic height pairings II, Inv. Math. 79, 329-374 (1985). | MR 778132 | Zbl 0571.14021
[Se1] : Algèbre Locale - Multiplicités, Springer-Verlag (2nd edition) 1965. | MR 201468 | Zbl 0142.28603
[Se2] Serre, Local Fields, Springer-Verlag, New York 1979. | MR 554237 | Zbl 0423.12016
[SeTa] and : Good Reduction of Abelian Varieties, Ann. of Math. 88 (1968), 492-517. | MR 236190 | Zbl 0172.46101
[Si] : The Arithmetic of Elliptic Curves, Springer-Verlag, New York 1988. | MR 817210 | Zbl 0585.14026
[Ta] : Relations between K2 and Galois Cohomology, Invent. Math. 36, 257-274 (1976). | MR 429837 | Zbl 0359.12011
[Wing] : Duality Theorems for Abelian Varieties over Zp-extensions, Advanced Studies in Pure Math. 17, 471-492 (1989). | MR 1097629 | Zbl 0746.14011
[Wint] : Structure Galoisienne de limites projectives d'unités locales, Compos. Math. 42 1 (1981) 89-103. | Numdam | MR 594484 | Zbl 0414.12008