On the Néron-Severi group of surfaces with many lines
Samuel Boissière, Alessandra Sarti
| Number | 2 |
|---|---|
| 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.
