论文标题
在排名一log del pezzo表面的特征与两个和三个不同
On rank one log del Pezzo surfaces in characteristic different from two and three
论文作者
论文摘要
我们对PICARD第一的所有日志Del pezzo表面进行了分类，该表面在代数封闭的特征字段中定义了与两个和三个不同的特征。我们还讨论了分类的一些后果。例如，我们表明，PICARD第一的日志Del pezzo表面在代数封闭的特征上定义了高于五个的代数闭合字段，该字段允许在光滑底座上抬高到特征零的对数分辨率。
We classify all log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic different from two and three. We also discuss some consequences of the classification. For example, we show that log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic higher than five admit a log resolution that lifts to characteristic zero over a smooth base.
