论文标题

规范Del Pezzo订单的分类

Classification of Canonical Del Pezzo Orders

论文作者

Nasr, Amir

论文摘要

我们对del pezzo进行分类,这些表面在其中心有限,没有比规范的奇异性差。使用最小模型程序,我们介绍了此类表面的最小模型。我们首先对最小模型进行分类,然后总体上对这些表面进行分类。这给出了Chan和Kulkarni在2003年给出的投影表面上的Del Pezzo订单分类的补充结果和方法

We classify del Pezzo non-commutative surfaces that are finite over their centres and have no worse than canonical singularities. Using the minimal model program, we introduce the minimal model of such surfaces. We first classify the minimal models and then give the classification of these surfaces in general. This presents a complementary result and method to the classification of del Pezzo orders over projective surfaces given by Chan and Kulkarni in 2003

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