On the Galois structure of Selmer groups
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 obta...
| Main Authors: | , , |
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| Format: | Article |
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Oxford University Press
2015
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| Online Access: | https://eprints.nottingham.ac.uk/40833/ |
| _version_ | 1848796143214919680 |
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| author | Burns, David Castillo, Daniel Macias Wuthrich, Christian |
| author_facet | Burns, David Castillo, Daniel Macias Wuthrich, Christian |
| author_sort | Burns, David |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:43:18Z |
| format | Article |
| id | nottingham-40833 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:18Z |
| publishDate | 2015 |
| publisher | Oxford University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-408332020-05-04T17:02:03Z https://eprints.nottingham.ac.uk/40833/ On the Galois structure of Selmer groups Burns, David Castillo, Daniel Macias Wuthrich, Christian 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. Oxford University Press 2015-02-25 Article PeerReviewed Burns, David, Castillo, Daniel Macias and Wuthrich, Christian (2015) On the Galois structure of Selmer groups. International Mathematics Research Notices, 22 . pp. 11909-11933. ISSN 1687-0247 https://academic.oup.com/imrn/article/2015/22/11909/2357364/On-the-Galois-Structure-of-Selmer-Groups doi:10.1093/imrn/rnv045 doi:10.1093/imrn/rnv045 |
| spellingShingle | Burns, David Castillo, Daniel Macias Wuthrich, Christian On the Galois structure of Selmer groups |
| title | On the Galois structure of Selmer groups |
| title_full | On the Galois structure of Selmer groups |
| title_fullStr | On the Galois structure of Selmer groups |
| title_full_unstemmed | On the Galois structure of Selmer groups |
| title_short | On the Galois structure of Selmer groups |
| title_sort | on the galois structure of selmer groups |
| url | https://eprints.nottingham.ac.uk/40833/ https://eprints.nottingham.ac.uk/40833/ https://eprints.nottingham.ac.uk/40833/ |