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Elliptic curves over Q$_{∞}$ are modular

Accepted version
Peer-reviewed

Repository URI

https://www.repository.cam.ac.uk/handle/1810/263158

Repository DOI

https://doi.org/10.17863/CAM.8465

Files

Accepted version (315.96 KB)

Type

Article

Change log

Authors

Thorne, JA 

Abstract

We show that if p is a prime, then all elliptic curves de ned over the cyclotomic Zp-extension of Q are modular.

Description

Keywords

Elliptic curves, modular forms, Iwasawa theory

Journal Title

Journal of the European Mathematical Society

Conference Name

Journal ISSN

1435-9855
1435-9863

Volume Title

21

Publisher

European Mathematical Society Publishing House

Publisher DOI

https://doi.org/10.4171/JEMS/877

Rights

http://www.rioxx.net/licenses/all-rights-reserved
Sponsorship
This work was carried out while the author served as a Clay Research Fellow.

Collections

Scholarly Works - Pure Mathematics and Mathematical Statistics
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