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arXiv · 1505.04642

On the Galois structure of Selmer groups

David Burns·Daniel Macias Castillo·Christian Wuthrich
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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.

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David Burns, Daniel Macias Castillo, Christian Wuthrich. 2015-05-18. On the Galois structure of Selmer groups. https://arxiv.org/abs/1505.04642

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