Elliptic Curves over Totally Real Cubic Fields are Modular

Maarten Derickx,Filip Najman,Samir Siksek

ALGEBRA & NUMBER THEORY（2020）

引用 16|浏览6

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摘要

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.

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关键词

modularity,elliptic curves,totally real fields

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