Large Selmer groups over number fields

Bartel, A. (2010) Large Selmer groups over number fields. Mathematical Proceedings of the Cambridge Philosophical Society, 148(1), pp. 73-86. (doi:10.1017/S0305004109990132)

[img]
Preview
Text
149662.pdf - Accepted Version

331kB

Abstract

Let p be a prime number and M a quadratic number field, M ≠ ℚ() if p ≡ 1 mod 4. We will prove that for any positive integer d there exists a Galois extension F/ℚ with Galois group D2p and an elliptic curve E/ℚ such that F contains M and the p-Selmer group of E/F has size at least pd.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Bartel, Professor Alex
Authors: Bartel, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematical Proceedings of the Cambridge Philosophical Society
Publisher:Cambridge University Press
ISSN:0305-0041
ISSN (Online):1469-8064
Published Online:15 July 2009
Copyright Holders:Copyright © 2009 Cambridge Philosophical Society
First Published:First published in Mathematical Proceedings of the Cambridge Philosophical Society 148(1):73-86
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

University Staff: Request a correction | Enlighten Editors: Update this record