The 'main conjectures' of Iwasawa theory for imaginary quadratic fields.

Karl Rubin

Inventiones mathematicae (1991)

  • Volume: 103, Issue: 1, page 25-68
  • ISSN: 0020-9910; 1432-1297/e

How to cite

top

Rubin, Karl. "The "main conjectures" of Iwasawa theory for imaginary quadratic fields.." Inventiones mathematicae 103.1 (1991): 25-68. <http://eudml.org/doc/143852>.

@article{Rubin1991,
author = {Rubin, Karl},
journal = {Inventiones mathematicae},
keywords = {Birch-Swinnerton-Dyer conjecture; Galois group; maximal abelian -extension; non-split primes; elliptic curves; Tate-Shafarevich group},
number = {1},
pages = {25-68},
title = {The "main conjectures" of Iwasawa theory for imaginary quadratic fields.},
url = {http://eudml.org/doc/143852},
volume = {103},
year = {1991},
}

TY - JOUR
AU - Rubin, Karl
TI - The "main conjectures" of Iwasawa theory for imaginary quadratic fields.
JO - Inventiones mathematicae
PY - 1991
VL - 103
IS - 1
SP - 25
EP - 68
KW - Birch-Swinnerton-Dyer conjecture; Galois group; maximal abelian -extension; non-split primes; elliptic curves; Tate-Shafarevich group
UR - http://eudml.org/doc/143852
ER -

Citations in EuDML Documents

top
  1. Andrea Bandini, 3-Selmer groups for curves y 2 = x 3 + a
  2. Hassan Oukhaba, Indice des unités elliptiques dans les ℤ p -extensions
  3. Mingzhi Xu, Cohomology groups of units in ℤ p d -extensions
  4. David Grant, Units from 3- and 4-torsion on jacobians of curves of genus 2
  5. Keqin Feng, Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture
  6. Hassan Oukhaba, Unités elliptiques, indice et Z p -extensions
  7. Stéphane Viguié, Invariants and coinvariants of semilocal units modulo elliptic units
  8. Massimo Bertolini, Selmer groups and Heegner points in anticyclotomic ℤ p -extensions
  9. John Coates, Takako Fukaya, Kazuya Kato, Ramdorai Sujatha, Otmar Venjakob, The GL2 main conjecture for elliptic curves without complex multiplication
  10. Takaaki Kagawa, Determination of elliptic curves with everywhere good reduction over ℚ(√37)

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.