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On the Neron-Severi group of surfaces with many lines

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 نشر من قبل Samuel Boissiere
 تاريخ النشر 2008
  مجال البحث
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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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