论文标题
fano $ 4 $ - 带有NEF切线捆绑的正面特征
Fano $4$-folds with nef tangent bundle in positive characteristic
论文作者
论文摘要
在特征性$ 0 $中,Campana-Peternell的猜想声称,唯一具有NEF切线捆绑包的光滑Fano品种应该是同质的。在本文中,我们研究了Campana-Peternell猜想的积极特征版本。特别是,我们给Fano $ 4 $ folds提供了一个肯定的答案,其中NEF切线捆绑包和PICARD数字大于一个。
In characteristic $0$, the Campana-Peternell conjecture claims that the only smooth Fano variety with nef tangent bundle should be homogeneous. In this paper, we study the positive characteristic version of the Campana-Peternell conjecture. In particular, we give an affirmative answer for Fano $4$-folds with nef tangent bundle and Picard number greater than one.