Mazur's control theorem

In number theory, Mazur's control theorem, introduced by Mazur (1972), describes the behavior in Zp extensions of the Selmer group of an abelian variety over a number field.

References
  • Mazur, Barry (1972), "Rational points of abelian varieties with values in towers of number fields", Inventiones Mathematicae, 18: 183–266, doi:10.1007/BF01389815, ISSN 0020-9910, MR 0444670
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