Mazur's control theorem
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Short description: Describes the behavior in Zp extensions of the Selmer group of an abelian variety
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 (3–4): 183–266, doi:10.1007/BF01389815, ISSN 0020-9910, Bibcode: 1972InMat..18..183M
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