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