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arXiv · 1304.4076

The zeta functions of the Fano surfaces of cubic threefolds

Xavier Roulleau
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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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Xavier Roulleau. 2013-04-15. The zeta functions of the Fano surfaces of cubic threefolds. https://arxiv.org/abs/1304.4076

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