论文标题

切线束的较高外部力量的积极性

Positivity of higher exterior powers of the tangent bundle

论文作者

Gachet, Cécile

论文摘要

我们证明,平稳的投射品种$ x $的尺寸$ n $具有严格的nef第三,第四或$(n-1)$ - 切线捆绑包的外部功率是Fano品种。此外,在前两种情况下,我们在$ρ(x)\ ne 1 $的假设下为$ x $提供了分类。

We prove that a smooth projective variety $X$ of dimension $n$ with strictly nef third, fourth or $(n-1)$-th exterior power of the tangent bundle is a Fano variety. Moreover, in the first two cases, we provide a classification for $X$ under the assumption that $ρ(X)\ne 1$.

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