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  • Del Pezzo surfaces over finite fields and their Frobenius traces 

    Banwait, Barinder; Fite Naya, Francesc; Loughran, Daniel (2019-07)
    Article
    Open Access
    Let S be a smooth cubic surface over a finite field q. It is known that #S( q) = 1 + aq + q2 for some a ¿ {-2, -1, 0, 1, 2, 3, 4, 5, 7}. Serre has asked which values of a can arise for a given q. Building on special cases ...