Positivity of Higher Exterior Powers of the Tangent Bundle

Cécile Gachet

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Source: Crossref

Published: Sep 28, 2023

DOI: 10.1093/imrn/rnad230

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Source abstract

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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Positivity of Higher Exterior Powers of the Tangent Bundle — Mathematical Frontier Network