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

Takahashi, Yuta, Watanabe, Kiwamu

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.

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