论文标题
关于同伴的一些猜想,对正常品种的猜想
Some remarks on the companions conjecture for normal varieties
论文作者
论文摘要
德林菲尔德(Drinfeld)在2010年证明了同伴在有限领域的平滑品种的猜想,从而概括了L. L. L. L. l. l. for for平滑曲线。我们研究了障碍物,以证明对任意正常品种的猜想。为此,我们介绍了形态的新属性。在某些情况下,我们验证了这一属性,从而表明了同伴对某些单数正常品种的猜想。
Drinfeld in 2010 proved the companions conjecture for smooth varieties over a finite field, generalizing L. Lafforgue's result for smooth curves. We study the obstruction to prove the conjecture for arbitrary normal varieties. To do this, we introduce a new property of morphisms. We verify this property in some cases, showing thereby the companions conjecture for some singular normal varieties.