Positivity of Higher Exterior Powers of the Tangent Bundle

Author:

Gachet Cécile1

Affiliation:

1. Université Côte d’Azur , CNRS, LJAD, 06108, France

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 $\rho (X)\ne 1$.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

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1. Positivity of the exterior power of the tangent bundles;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2023-12-11

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