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March 2015 Tate conjecture for some abelian surfaces over totally real or CM number fields
Cristian Virdol
Funct. Approx. Comment. Math. 52(1): 57-63 (March 2015). DOI: 10.7169/facm/2015.52.1.4

Abstract

In this paper we prove Tate conjecture for abelian surfaces of the type $\operatorname{Res}_{K/F}E$ where $E$ is an elliptic curve defined over a totally real or CM number field $K$, and $F$ is a subfield of $K$ such that $[K:F]=2$.

Citation

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Cristian Virdol. "Tate conjecture for some abelian surfaces over totally real or CM number fields." Funct. Approx. Comment. Math. 52 (1) 57 - 63, March 2015. https://doi.org/10.7169/facm/2015.52.1.4

Information

Published: March 2015
First available in Project Euclid: 20 March 2015

zbMATH: 1381.11041
MathSciNet: MR3326123
Digital Object Identifier: 10.7169/facm/2015.52.1.4

Subjects:
Primary: 11F41
Secondary: 11F80 , 11R42 , 11R80

Keywords: abelian surfaces , Tate conjecture , totally real fields

Rights: Copyright © 2015 Adam Mickiewicz University

Vol.52 • No. 1 • March 2015
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