Elliptic curves and ℤ p -extensions

Karl Rubin

Compositio Mathematica (1985)

  • Volume: 56, Issue: 2, page 237-250
  • ISSN: 0010-437X

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Rubin, Karl. "Elliptic curves and $\mathbb {Z}_p$-extensions." Compositio Mathematica 56.2 (1985): 237-250. <http://eudml.org/doc/89739>.

@article{Rubin1985,
author = {Rubin, Karl},
journal = {Compositio Mathematica},
keywords = {elliptic curve; complex multiplication; Mordell-Weil group; Tate- Shafarevich group; Iwasawa theory},
language = {eng},
number = {2},
pages = {237-250},
publisher = {Martinus Nijhoff Publishers},
title = {Elliptic curves and $\mathbb \{Z\}_p$-extensions},
url = {http://eudml.org/doc/89739},
volume = {56},
year = {1985},
}

TY - JOUR
AU - Rubin, Karl
TI - Elliptic curves and $\mathbb {Z}_p$-extensions
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 56
IS - 2
SP - 237
EP - 250
LA - eng
KW - elliptic curve; complex multiplication; Mordell-Weil group; Tate- Shafarevich group; Iwasawa theory
UR - http://eudml.org/doc/89739
ER -

References

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  12. [12] D. Rohrlich: On L-functions of elliptic curves and anticyclotomic towers. To appear. Zbl0565.14008MR735332
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  14. [14] K. Rubin: On the arithmetic of CM elliptic curves in Zp-extensions. Thesis, Harvard University (1980). 
  15. [15] K. RUBIN Elliptic curveswith complex multiplication and the conjecture of Birch and Swinnerton-dyer. Invent. Math.64, (1981) 455-470. Zbl0506.14039MR632985
  16. [16] K. Rubin and A. Wiles: Mordell-Weil groups of elliptic curves over cyclotomic fields. In: Number Theory related to Fermat's last Theorem. Boston: Birkhauser (1982). Zbl0519.14017MR685299
  17. [17] J. Tate: Duality theorems in Galois cohomology over number fields. Proc. Internat. Congress Math. Stockholm 1962, pp. 288-295. Zbl0126.07002MR175892
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