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Positivity of higher exterior powers of the tangent bundle (2207.10854v4)
Published 22 Jul 2022 in math.AG
Abstract: 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 $\rho(X)\ne 1$.
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