# Fano surfaces with 12 or 30 elliptic curves - Mathematics > Algebraic Geometry

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Abstract: Curves of low genus on a surface carry important informations on thatsurface. We study the Fano surfaces of lines of cubic threefolds that contain12 or 30 elliptic curves. We determine their Picard number and compute a basisof the N\-eron-Severi group of the Fano surface of the Fermat cubic threefold.

Author: ** Xavier Roulleau**

Source: https://arxiv.org/