On the Neron-Severi group of surfaces with many lines
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For a binary quartic form $ϕ$ without multiple factors, we classify the quartic K3 surfaces $ϕ(x,y)=ϕ(z,t)$ whose Neron-Severi group is (rationally) generated by lines. For generic binary forms $ϕ$, $ψ$ of prime degree without multiple factors, we prove that the Neron-Severi group of the surface $ϕ(x,y)=ψ(z,t)$ is rationally generated by lines.
To appear in Proc. AMS
To appear in Proc. AMS