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Elliptic curves over totally real cubic fields are modular
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Derickx, Maarten, Najman , Filip and Siksek, Samir (2020) Elliptic curves over totally real cubic fields are modular. Algebra & Number Theory, 14 (7). pp. 1791-1800. doi:10.2140/ant.2020.14.1791 ISSN 1937-0652.
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Official URL: https://doi.org/10.2140/ant.2020.14.1791
Abstract
We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on previous work of Freitas, Le Hung and Siksek, who proved modularity of elliptic curves over real quadratic fields, as well as recent breakthroughs due to Thorne and to Kalyanswamy.
Item Type: | Journal Article | ||||||||||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||||||||
Library of Congress Subject Headings (LCSH): | Curves, Elliptic, Modularity, Algebraic number theory | ||||||||||||||||||
Journal or Publication Title: | Algebra & Number Theory | ||||||||||||||||||
Publisher: | Mathematical Sciences Publishers | ||||||||||||||||||
ISSN: | 1937-0652 | ||||||||||||||||||
Official Date: | 18 August 2020 | ||||||||||||||||||
Dates: |
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Volume: | 14 | ||||||||||||||||||
Number: | 7 | ||||||||||||||||||
Page Range: | pp. 1791-1800 | ||||||||||||||||||
DOI: | 10.2140/ant.2020.14.1791 | ||||||||||||||||||
Status: | Peer Reviewed | ||||||||||||||||||
Publication Status: | Published | ||||||||||||||||||
Reuse Statement (publisher, data, author rights): | First published in Algebra & Number Theory in Vol. 14 (2020), No. 7, published by Mathematical Sciences Publishers. | ||||||||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||||||||
Date of first compliant deposit: | 16 March 2020 | ||||||||||||||||||
Date of first compliant Open Access: | 6 October 2020 | ||||||||||||||||||
RIOXX Funder/Project Grant: |
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