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Mazur's control theorem

From Wikipedia, the free encyclopedia

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

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  • Mazur, Barry (1972), "Rational points of abelian varieties with values in towers of number fields", Inventiones Mathematicae, 18 (3–4): 183–266, Bibcode:1972InMat..18..183M, doi:10.1007/BF01389815, ISSN 0020-9910, MR 0444670, S2CID 121009489