The zeta functions of the Fano surfaces of cubic threefolds
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fanocubicsurfaceszetaalgorithmcomputedefinedexamples
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We give an algorithm to compute the zeta function of the Fano surface of lines of a smooth cubic threefold $F$ into $\mathbb{P}^4$ defined over a finite field. We obtain some examples of Fano surfaces with supersingular reduction.
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