On the arithmetic of elliptic curves and a homotopy limit problem

JOURNAL OF NUMBER THEORY

卷:183

Article

关键词: Elliptic curves;    Tate-Shafarevich group;    Homotopy limit problem;    Motivic cohomology;    Etale cohomology;   

DOI  :  10.1016/j.jnt.2017.08.008

来源: Elsevier

【 摘 要 】

In this note, I study a comparison map between a motivic and etale cohomology group of an elliptic curve over Q just outside the range of Voevodsky's isomorphism theorem. I show that the property of an appropriate version of the map being an isomorphism is equivalent to certain arithmetical properties of the elliptic curve. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free