Mazur's control theorem

In number theory, Mazur's control theorem, introduced by Mazur (1972), describes the behavior in Z_p 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

This article is issued from Wikipedia - version of the 3/18/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.