Rational Points of Abelian Varieties with Values in Towers of Number Fields.

Barry Mazur

Inventiones mathematicae (1972)

  • Volume: 18, page 183-266
  • ISSN: 0020-9910; 1432-1297/e

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Mazur, Barry. "Rational Points of Abelian Varieties with Values in Towers of Number Fields.." Inventiones mathematicae 18 (1972): 183-266. <http://eudml.org/doc/142180>.

@article{Mazur1972,
author = {Mazur, Barry},
journal = {Inventiones mathematicae},
keywords = {tower of abelian extensions; cyclotomic -extension; abelian variety; finitely generated group of rational points; Shafarevich-Tate group; Iwasawa's characteristic polynomials},
pages = {183-266},
title = {Rational Points of Abelian Varieties with Values in Towers of Number Fields.},
url = {http://eudml.org/doc/142180},
volume = {18},
year = {1972},
}

TY - JOUR
AU - Mazur, Barry
TI - Rational Points of Abelian Varieties with Values in Towers of Number Fields.
JO - Inventiones mathematicae
PY - 1972
VL - 18
SP - 183
EP - 266
KW - tower of abelian extensions; cyclotomic -extension; abelian variety; finitely generated group of rational points; Shafarevich-Tate group; Iwasawa's characteristic polynomials
UR - http://eudml.org/doc/142180
ER -

Citations in EuDML Documents

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  1. Naoki Murabayashi, Mordell-Weil rank of the jacobians of the curves defined by y p = f ( x )
  2. Kenneth Kramer, Elliptic curves with non-trivial 2-adic Iwasawa μ-invariant
  3. Andrea Bandini, Ignazio Longhi, Selmer groups for elliptic curves in ℤ l d -extensions of function fields of characteristic p
  4. Marc Yor, Distributions de Frobénius
  5. Jean-François Mestre, Courbes elliptiques et formules explicites
  6. Odile Lecacheux, Rang de courbes elliptiques avec groupe de torsion non trivial
  7. Jacques Vélu, Les points rationnels de X 0 ( 37 )
  8. Alexis Michel, Une formule de Riemann-Hurwitz pour le groupe de Selmer d'une courbe elliptique
  9. K. Kramer, J. Tunnell, Elliptic curves and local ϵ -factors
  10. Li Guo, On a generalization of Tate dualities with application to Iwasawa theory

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