Classification of Mukai pairs with corank $3$

Kanemitsu, Akihiro

doi:10.5802/aif.3242

Classification of Mukai pairs with corank

3

[Classification des paires de Mukai de corang

3

]

Kanemitsu, Akihiro ¹

¹ Graduate School of Mathematical Sciences The University of Tokyo 3-8-1 Komaba Meguro-ku Tokyo 153-8914 (Japan)

Annales de l'Institut Fourier, Tome 69 (2019) no. 1, pp. 231-282.

Résumé
Abstract

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

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

Reçu le : 2017-06-22
Révisé le : 2018-01-12
Accepté le : 2018-02-02
Publié le : 2019-06-03

Zbl

DOI : 10.5802/aif.3242

Classification : 14J45, 14J40, 14J60
Keywords: Fano manifold, vector bundle
Mot clés : variété de Fano, fibré vectoriel

Affiliations des auteurs :

Kanemitsu, Akihiro ¹

¹ Graduate School of Mathematical Sciences The University of Tokyo 3-8-1 Komaba Meguro-ku Tokyo 153-8914 (Japan)

Licence :

CC-BY-ND 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     title = {Classification of {Mukai} pairs with corank $3$},
     journal = {Annales de l'Institut Fourier},
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     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.3242/

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