论文标题
Grothendieck在有限领域的Lefschetz类型的标准猜想
Grothendieck's standard conjecture of Lefschetz type over finite fields
论文作者
论文摘要
Grothendieck的Lefschetz类型的标准猜想有两种主要形式：弱的形式$ c $和强烈的形式$ b $。由于Weil猜想的证明，弱形式以有限领域的品种而闻名。这表明在同一环境中，猜想的强烈形式可能是标准猜想中最容易获得的。在这里，作为猜想的广告，我们解释了它的一些显着后果。
Grothendieck's standard conjecture of Lefschetz type has two main forms: the weak form $C$ and the strong form $B$. The weak form is known for varieties over finite fields as a consequence of the proof of the Weil conjectures. This suggests that the strong form of the conjecture in the same setting may be the most accessible of the standard conjectures. Here, as an advertisement for the conjecture, we explain some of its remarkable consequences.
