论文标题
关于奇异性的奇异性类型的del pezzo表面，具有正值的双点
On singularity types of del Pezzo surfaces with rational double points in positive characteristic
论文作者
论文摘要
在本文中，我们证明了一对具有理性双点的Del Pezzo表面的最小分辨率，其一般的反典型成员是光滑的，其出色的除数升压到Witt环。我们还用理性的双点对Del Pezzo表面进行了分类，其反典型成员都是单数的。作为推论，我们确定具有合理双点的Del Pezzo表面的所有奇异性类型，仅出现在积极特征中。
In this paper, we prove that a pair of the minimal resolution of a del Pezzo surface with rational double points whose general anti-canonical member is smooth and its exceptional divisor lifts to the Witt ring. We also classify a del Pezzo surface with rational double points whose anti-canonical members are all singular. As a corollary, we determine all singularity types of del Pezzo surfaces with rational double points which only appear in positive characteristic.
