Abstract
Let S be a bielliptic surface over a finite field, and let an elliptic curve B be the Albanese variety of S; then the zeta function of the surface S is equal to the zeta function of the direct product P1 × B. Therefore, the classification problem for the zeta functions of bielliptic surfaces is reduced to the existence problem for surfaces of a given type with a given Albanese curve. In the present paper, we complete this classification initiated in [1].
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Original Russian Text © S. Yu. Rybakov, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 3, pp. 384–394.
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Rybakov, S.Y. Classification of zeta functions of bielliptic surfaces over finite fields. Math Notes 99, 397–405 (2016). https://doi.org/10.1134/S0001434616030081
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DOI: https://doi.org/10.1134/S0001434616030081