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

Accepted version
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
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.
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Scholarly Works - Pure Mathematics and Mathematical Statistics
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