# On the Néron-Severi group of surfaces with many lines

Samuel Boissière, Alessandra Sarti

Number | 2 |
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Author | Alessandra Sarti |

Project | B04 |

Year | 2008 |

Journal | Proceedings of the AMS, to appear |

For a binary quartic form ϕ without multiple factors, we classify the quartic K3 surfaces ϕ(x;y)=ϕ(z;t) whose Néron-Severi group is (rationally) generated by lines. For generic binary forms ϕ,ψ of prime degree without multiple factors, we prove that the Néron-Severi group of the surface ϕ(x;y)=ψ(z;t) is rationally generated by lines.