Document Type

Article

Publication Date

2016

Abstract

This work generalizes the theory of arithmetic local constants, introduced by Mazur and Rubin, to better address abelian varieties with a larger endomorphism ring than ℤ. We then study the growth of the p- Selmer rank of our abelian variety, and we address the problem of extending the results of Mazur and Rubin to dihedral towers kKF in which [F : K] is not a p-power extension.

Included in

Number Theory Commons

Share

COinS