Classification of Mukai pairs with corank $3$
[Classification des paires de Mukai de corang $3$]
Annales de l'Institut Fourier, Tome 69 (2019) no. 1, pp. 231-282.

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 ${c}_{1}\left(ℰ\right)={c}_{1}\left(X\right)$.

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 ${c}_{1}\left(ℰ\right)={c}_{1}\left(X\right)$.

Reçu le :
Révisé le :
Accepté le :
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DOI : https://doi.org/10.5802/aif.3242
Classification : 14J45,  14J40,  14J60
Mots clés : variété de Fano, fibré vectoriel
@article{AIF_2019__69_1_231_0,
author = {Kanemitsu, Akihiro},
title = {Classification of Mukai pairs with corank $3$},
journal = {Annales de l'Institut Fourier},
pages = {231--282},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {69},
number = {1},
year = {2019},
doi = {10.5802/aif.3242},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/aif.3242/}
}
Kanemitsu, Akihiro. Classification of Mukai pairs with corank $3$. Annales de l'Institut Fourier, Tome 69 (2019) no. 1, pp. 231-282. doi : 10.5802/aif.3242. http://archive.numdam.org/articles/10.5802/aif.3242/

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