Large Selmer groups over number fields-Reference-Cited by-同舟云学术

Large Selmer groups over number fields

Published:2009-07-15 Issue:1 Volume:148 Page:73-86
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

BARTEL ALEX

Abstract

AbstractLet 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference22 articles.

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