# ANNALES DE L'INSTITUT FOURIER

Classification of Mukai pairs with corank $3$
Annales de l'Institut Fourier, to appear, 52 p.

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 : 2018-01-12
Accepted : 2018-02-02
Published online : 2019-03-08
Classification:  14J45,  14J40,  14J60
Keywords: Fano manifold, vector bundle
@unpublished{AIF_0__0_0_A6_0,
author = {Kanemitsu, Akihiro},
title = {Classification of Mukai pairs with corank $3$},
note = {to appear in \emph{Annales de l'Institut Fourier}},
}

Kanemitsu, Akihiro. Classification of Mukai pairs with corank $3$. Annales de l'Institut Fourier, to appear, 52 p.

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