Positivity of higher exterior powers of the tangent bundle
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913608456208384 |
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| author | Gachet, Cécile |
| author_facet | Gachet, Cécile |
| contents | 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 $ρ(X)\ne 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_10854 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Positivity of higher exterior powers of the tangent bundle Gachet, Cécile Algebraic Geometry 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 $ρ(X)\ne 1$. |
| title | Positivity of higher exterior powers of the tangent bundle |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2207.10854 |