## Functiones et Approximatio Commentarii Mathematici

### Tate conjecture for some abelian surfaces over totally real or CM number fields

Cristian Virdol

#### 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 $[K:F]=2$.

#### Article information

Source
Funct. Approx. Comment. Math., Volume 52, Number 1 (2015), 57-63.

Dates
First available in Project Euclid: 20 March 2015

https://projecteuclid.org/euclid.facm/1426857034

Digital Object Identifier
doi:10.7169/facm/2015.52.1.4

Mathematical Reviews number (MathSciNet)
MR3326123

Zentralblatt MATH identifier
1381.11041

#### Citation

Virdol, Cristian. Tate conjecture for some abelian surfaces over totally real or CM number fields. Funct. Approx. Comment. Math. 52 (2015), no. 1, 57--63. doi:10.7169/facm/2015.52.1.4. https://projecteuclid.org/euclid.facm/1426857034

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