论文标题

带有小规范捆绑包的普通品种并非没有释放

Ordinary varieties with trivial canonical bundle are not uniruled

论文作者

Patakfalvi, Zsolt, Zdanowicz, Maciej

论文摘要

我们证明,在完美的特征$ p> 0 $的完美领域,平滑,投射,$ k $的,弱普通的品种并非几何。我们还显示了我们定理的单数版本,该版本在多个方面都很敏锐。我们的工作以及Langer的结果表明,相对于任何极化,上述类型的品种具有很强的半固定束。

We prove that smooth, projective, $K$-trivial, weakly ordinary varieties over a perfect field of characteristic $p>0$ are not geometrically uniruled. We also show a singular version of our theorem, which is sharp in multiple aspects. Our work, together with Langer's results, implies that varieties of the above type have strongly semistable tangent bundles with respect to any polarization.

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