David Burns
On the Galois structure of Selmer groups
Burns, David; Castillo, Daniel Macias; Wuthrich, Christian
Authors
Abstract
© 2015 The Author(s). 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.
Citation
Burns, D., Castillo, D. M., & Wuthrich, C. (2015). On the Galois structure of Selmer groups. International Mathematics Research Notices, 2015(22), 11909-11933. https://doi.org/10.1093/imrn/rnv045
Journal Article Type | Article |
---|---|
Acceptance Date | Feb 2, 2015 |
Online Publication Date | Feb 25, 2015 |
Publication Date | 2015 |
Deposit Date | Feb 24, 2017 |
Publicly Available Date | Feb 24, 2017 |
Journal | International Mathematics Research Notices |
Print ISSN | 1073-7928 |
Electronic ISSN | 1687-0247 |
Publisher | Oxford University Press |
Peer Reviewed | Peer Reviewed |
Volume | 2015 |
Issue | 22 |
Pages | 11909-11933 |
DOI | https://doi.org/10.1093/imrn/rnv045 |
Public URL | https://nottingham-repository.worktribe.com/output/744410 |
Publisher URL | https://academic.oup.com/imrn/article/2015/22/11909/2357364/On-the-Galois-Structure-of-Selmer-Groups |
Additional Information | This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record David Burns, Daniel Macias Castillo, Christian Wuthrich; On the Galois Structure of Selmer Groups. Int Math Res Notices 2015; 2015 (22): 11909-11933. doi: 10.1093/imrn/rnv045 is available online at: https://academic.oup.com/imrn/article/2015/22/11909/2357364/On-the-Galois-Structure-of-Selmer-Groups |
Contract Date | Feb 24, 2017 |
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