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On the Galois structure of Selmer groups

Burns, David; Castillo, Daniel Macias; Wuthrich, Christian

Authors

David Burns

Daniel Macias Castillo



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 (OUP)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 22
Pages 11909-11933
DOI https://doi.org/10.1093/imrn/rnv045
Public URL http://eprints.nottingham.ac.uk/id/eprint/40833
Publisher URL https://academic.oup.com/imrn/article/2015/22/11909/2357364/On-the-Galois-Structure-of-Selmer-Groups
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
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

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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