摘要翻译：
对于无多因子的二元四次形式$\phi$,我们将Neron-Severi群由线（有理）生成的四次K3曲面$\phi(x,y)=\phi(z,t)$分类。对于无多因子的素数泛型二元形式$\phi$，$\psi$，我们证明了曲面$\phi(x,y)=\psi(z,t)$的Neron-Severi群是由线有理生成的。
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英文标题：
《On the Neron-Severi group of surfaces with many lines》
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作者：
Samuel Boissiere and Alessandra Sarti
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最新提交年份：
2008
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  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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PDF链接：
https://arxiv.org/pdf/0801.0526