@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},
pages = {1--19},
year = {1996},
publisher = {Kluwer Academic Publishers},
volume = {101},
number = {1},
mrnumber = {1390830},
zbl = {0864.11054},
language = {en},
url = {https://www.numdam.org/item/CM_1996__101_1_1_0/}
}
McConnell, Gary. On the Iwasawa theory of CM elliptic curves at supersingular primes. Compositio Mathematica, Tome 101 (1996) no. 1, pp. 1-19. https://www.numdam.org/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. | Zbl | MR | Numdam
[Bo] : Commutative Algebra. Hermann, Paris 1972. | MR
[Ca] : Arithmetic on curves of genus 1, IV, J. Reine und Angew. Math., 207 (1962), 234-246. | Zbl
[CGr] and : Kummer theory for abelian varieties over local fields, Inv. Math. 124 (1996), 129-174. | Zbl | MR
[CMc] and : On the Iwasawa theory of modular elliptic curves of analytic rank ≤ 1, to appear in Jnl. Lon. Math. Soc. | Zbl
[CW] and : On the Conjecture of Birch and Swinnerton-Dyer, Inv. Math. 39 223-251 (1977). | Zbl | MR
[deS] : Iwasawa theory for elliptic curves with complex multiplication, Perspectives in Mathematics 3, Academic Press, Boston, 1987. | Zbl | MR
[Gr1] : On the structure of certain Galois groups, Invent. Math. 47 (1978), 85-99. | Zbl | MR
[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
[Gr3] : Iwasawa Theory for p-adic Representations, in Advanced Studies in Pure Math. 17, Kinokuniya & Academic Press (1989), 97-137. | Zbl | MR
[G] : Arithmetic on elliptic curves with complex multiplication, Lect. Notes Math. 776, Springer New York (1980). | Zbl | MR
[Im] : A remark on the rational points of abelian varieties with values in cyclotomic Zl-extensions, Proc. Jap. Acad. 51 (1975), 12-16. | Zbl | MR
[Ko] : Euler Systems, in The Grothendieck Festschrift, Volume II, P.I.M. 87, Birkhäuser Boston 1990. | Zbl | MR
[Mat] : Commutative Ring Theory, C.U.P. Cambridge 1989. | Zbl | MR
[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). | Zbl | MR
[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
[P-R3] : Théorie d'Iwasawa et hauteurs p-adiques, Invent. Math. 109 (1992), 137-185. | Zbl | MR
[Ro] : On L-functions of elliptic curves and cyclotomic towers', Invent. Math. 75, 409-423 (1984). | Zbl | MR
[Ru1] : Elliptic curves with complex multiplication and the Conjecture of Birch and Swinnerton-Dyer, Invent. Math. 64 (1981), 455-470. | Zbl | MR
[Ru2] : Local units, elliptic units, Heegner points and elliptic curves, Invent. Math. 88 (1987), 405-422. | Zbl | MR
[Ru3] : On the main conjecture of Iwasawa theory for imaginary quadratic fields, Invent. Math. 93 (1988) 701-713. | Zbl | MR
[Ru4] The 'Main Conjectures' of Iwasawa theory for imaginary quadratic fields, Invent. Math. 103 (1991), 25-68. | Zbl | MR
[Sc] : p-adic height pairings II, Inv. Math. 79, 329-374 (1985). | Zbl | MR
[Se1] : Algèbre Locale - Multiplicités, Springer-Verlag (2nd edition) 1965. | Zbl | MR
[Se2] Serre, Local Fields, Springer-Verlag, New York 1979. | Zbl | MR
[SeTa] and : Good Reduction of Abelian Varieties, Ann. of Math. 88 (1968), 492-517. | Zbl | MR
[Si] : The Arithmetic of Elliptic Curves, Springer-Verlag, New York 1988. | Zbl | MR
[Ta] : Relations between K2 and Galois Cohomology, Invent. Math. 36, 257-274 (1976). | Zbl | MR
[Wing] : Duality Theorems for Abelian Varieties over Zp-extensions, Advanced Studies in Pure Math. 17, 471-492 (1989). | Zbl | MR
[Wint] : Structure Galoisienne de limites projectives d'unités locales, Compos. Math. 42 1 (1981) 89-103. | Zbl | MR | Numdam





