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The zeta functions of the Fano surfaces of cubic threefolds

Published 15 Apr 2013 in math.AG | (1304.4076v2)

Abstract: 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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