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Bartel, Alex (2010) Large Selmer groups over number fields. Mathematical Proceedings of the Cambridge Philosophical Society, Vol.148 (No.1). pp. 73-86. doi:10.1017/S0305004109990132
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Official URL: http://dx.doi.org/10.1017/S0305004109990132
Abstract
Let p be a prime number and M a quadratic number field, M ≠ () if p ≡ 1 mod 4. We will prove that for any positive integer d there exists a Galois extension F/ with Galois group D2p and an elliptic curve E/ such that F contains M and the p-Selmer group of E/F has size at least pd.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society | ||||
| Publisher: | Cambridge University Press | ||||
| ISSN: | 0305-0041 | ||||
| Official Date: | 2010 | ||||
| Dates: |
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| Volume: | Vol.148 | ||||
| Number: | No.1 | ||||
| Page Range: | pp. 73-86 | ||||
| DOI: | 10.1017/S0305004109990132 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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