On the Neron-Severi group of surfaces with many lines

Details On the Neron-Severi group of surfaces with many lines On the Neron-Severi group of surfaces with many lines

2008-01-03

arxiv.org/abs/0801.0526v1

Mathematics

Algebraic Geometry

To appear in Proc. AMS

Scientific paper

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

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