论文标题
在高维的Del Pezzo品种上
On higher-dimensional del Pezzo varieties
论文作者
论文摘要
我们研究了del pezzo的Del Pezzo品种，Del Pezzo表面的高维类似物。特别是，我们介绍了Del Pezzo品种的ADE分类，表明在A型中，非核心Del Pezzo品种的尺寸为$ 12 -d -r $，其中$ d $是度量，$ r $是类组的等级，是分类组的最大del pezzo pezzo品种。
We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we introduce ADE classification of del Pezzo varieties, show that in type A the dimension of non-conical del Pezzo varieties is bounded by $12 - d - r$, where $d$ is the degree and $r$ is the rank of the class group, and classify maximal del Pezzo varieties.
