$6$的del Pezzo四重上的秩2 aCM丛及其一般超平面截面
Rank two aCM bundles on the del Pezzo fourfold of degree $6$ and its general hyperplane section
摘要：
本文在Segre嵌入$\mathbb{P}^2\times\mathbb{P}^2\subseteq\mathbb{P}^8$及其一般超平面截面的象上对具有消失中间上同调模的秩$2$的局部自由层进行了完全分类.这样的分类扩展了关于具有皮卡德编号$1$和$3$且维数至少为$3$的德尔佩佐品种的类似已知结果。
英文摘要：
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 $3$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
