# ANNALES DE L'INSTITUT FOURIER

Classification of Mukai pairs with corank $3$
Annales de l'Institut Fourier, Volume 69 (2019) no. 1, pp. 231-282.

We classify the pairs $\left(X,ℰ\right)$ where $X$ is a smooth Fano manifold of dimension $n\ge 5$ and $ℰ$ is an ample vector bundle of rank $n-2$ with ${c}_{1}\left(ℰ\right)={c}_{1}\left(X\right)$.

On classifie les paires $\left(X,ℰ\right)$$X$ est une variété de Fano lisse de dimension $n\ge 5$ et $ℰ$ est un fibré vectoriel ample de rang $n-2$ sur $X$ tel que ${c}_{1}\left(ℰ\right)={c}_{1}\left(X\right)$.

Revised:
Accepted:
Published online:
DOI: 10.5802/aif.3242
Classification: 14J45, 14J40, 14J60
Keywords: Fano manifold, vector bundle
Kanemitsu, Akihiro 1

1 Graduate School of Mathematical Sciences The University of Tokyo 3-8-1 Komaba Meguro-ku Tokyo 153-8914 (Japan)
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Kanemitsu, Akihiro. Classification of Mukai pairs with corank $3$. Annales de l'Institut Fourier, Volume 69 (2019) no. 1, pp. 231-282. doi : 10.5802/aif.3242. https://aif.centre-mersenne.org/articles/10.5802/aif.3242/

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