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arXiv · 1503.02796

Rank two aCM bundles on the del Pezzo fourfold of degree $6$ and its general hyperplane section

Gianfranco Casnati·Daniele Faenzi·Francesco Malaspina
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Abstract

In the present paper we completely classify locally free sheaves of rank $2$ with vanishing intermediate cohomology modules on the image of the Segre embedding $\mathbb{P}^2\times\mathbb{P}^2\subseteq\mathbb{P}^8$ and its general hyperplane sections. Such a classification extends similar already known results regarding del Pezzo varieties with Picard numbers $1$ and $3$ and dimension at least $3$.

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Gianfranco Casnati, Daniele Faenzi, Francesco Malaspina. 2015-03-10. Rank two aCM bundles on the del Pezzo fourfold of degree $6$ and its general hyperplane section. https://arxiv.org/abs/1503.02796

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