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Large Selmer groups over number fields
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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 ISSN 0305-0041.
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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 | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > 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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