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On the Galois Structure of Selmer Groups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 25 Feb 2015Embargo end date: 01 Jan 2015 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices (issn: 1073-7928, eissn: 1687-0247, Copyright policy )
Authors: Burns, David; Castillo, Daniel Mac Ias; Wuthrich, Christian;

doi: 10.1093/imrn/rnv045 , 10.48550/arxiv.1505.04642

arXiv: 1505.04642

On the Galois Structure of Selmer Groups

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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Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
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Average
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