Class fields of abelian extensions of Q.

B. Mazur; A. Wiles

Inventiones mathematicae (1984)

  • Volume: 76, page 179-330
  • ISSN: 0020-9910; 1432-1297/e

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Mazur, B., and Wiles, A.. "Class fields of abelian extensions of Q.." Inventiones mathematicae 76 (1984): 179-330. <http://eudml.org/doc/143124>.

@article{Mazur1984,
author = {Mazur, B., Wiles, A.},
journal = {Inventiones mathematicae},
keywords = {Fitting ideals; abelian varieties; cuspidal group; Eisenstein ideal; Iwasawa theory; Iwasawa main conjecture; p-adic L-functions; Iwasawa modules; -extensions; modular curves; Herbrand's theorem; cyclotomic field; Bernoulli number; unramified extensions},
pages = {179-330},
title = {Class fields of abelian extensions of Q.},
url = {http://eudml.org/doc/143124},
volume = {76},
year = {1984},
}

TY - JOUR
AU - Mazur, B.
AU - Wiles, A.
TI - Class fields of abelian extensions of Q.
JO - Inventiones mathematicae
PY - 1984
VL - 76
SP - 179
EP - 330
KW - Fitting ideals; abelian varieties; cuspidal group; Eisenstein ideal; Iwasawa theory; Iwasawa main conjecture; p-adic L-functions; Iwasawa modules; -extensions; modular curves; Herbrand's theorem; cyclotomic field; Bernoulli number; unramified extensions
UR - http://eudml.org/doc/143124
ER -

Citations in EuDML Documents

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  1. James S. Kraft, René Schoof, Computing Iwasawa modules of real quadratic number fields
  2. David Solomon, On the classgroups of imaginary abelian fields
  3. Cornelius Greither, Radan Kučera, Eigenspaces of the ideal class group
  4. Jerzy Urbanowicz, Connections between B 2 , χ for even quadratic Dirichlet characters χ and class numbers of appropriate imaginary quadratic fields, I
  5. Georges Gras, Sur la structure des groupes de classes relatives. Avec un appendice d'exemples numériques par T. Berthier
  6. Georgios Pappas, Cubic structures and ideal class groups
  7. Robert F. Coleman, Classical and overconvergent modular forms of higher level
  8. Pietro Cornacchia, Fitting ideals of class groups in a ℤ p -extension
  9. Marc Levine, The indecomposable K 3 of fields
  10. Karl Rubin, A Stark conjecture “over 𝐙 ” for abelian L -functions with multiple zeros

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