Geodesic
Zeta Functions of Bielliptic Surfaces over Finite Fields
Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 273-285.

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Let $S$ be a bielliptic surface over a finite field, and let the elliptic curve $B$ be the image of the Albanese mapping $S\to B$. In this case, the zeta function of the surface is equal to the zeta function of the direct product $\mathbb P^1\times B$. A classification of the possible zeta functions of bielliptic surfaces is also presented in the paper.
Keywords: variety over a finite field, zeta function, Albanese mapping, elliptic curve, étale cohomology, isogeny class.
Mots-clés : bielliptic surface, Frobenius morphism 
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S. Yu. Rybakov. Zeta Functions of Bielliptic Surfaces over Finite Fields. Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 273-285. http://geodesic.mathdoc.fr/item/MZM_2008_83_2_a8/

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