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arXiv · 1806.07587

Classification of Mukai pairs with dimension $4$ and rank $2$

Akihiro Kanemitsu
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Abstract

We give the complete classification of Mukai pairs of dimension $4$ and rank $2$ with Picard number one, that is, pairs $(X,E)$ where $X$ is a Fano $4$-fold with Picard number one, and $E$ is an ample vector bundle of rank two on $X$ with $c_1(X) = c_1(E)$. Equivalently, the present paper completes the classification of ruled Fano $5$-folds with index two, which was partially done by C. Novelli and G. Occhetta in 2007.

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Akihiro Kanemitsu. 2018-06-20. Classification of Mukai pairs with dimension $4$ and rank $2$. https://arxiv.org/abs/1806.07587

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