On the Galois structure of Selmer groups
Number Theory
2015-05-19 v1
Abstract
Let A be an abelian variety defined over a number field k and F a finite Galois extension of k. Let p be a prime number. Then under certain not-too-stringent conditions on A and F we investigate the explicit Galois structure of the p-primary Selmer group of A over F. We also use the results so obtained to derive new bounds on the growth of the Selmer rank of A over extensions of k.
Keywords
Cite
@article{arxiv.1505.04642,
title = {On the Galois structure of Selmer groups},
author = {David Burns and Daniel Macias Castillo and Christian Wuthrich},
journal= {arXiv preprint arXiv:1505.04642},
year = {2015}
}