论文标题
Del Pezzo表面上发生了哪些理性双点？
Which rational double points occur on del Pezzo surfaces?
论文作者
论文摘要
我们确定在RDP del Pezzo表面上发生的所有有理双点的配置，并在代数封闭的字段上排名在代数封闭的字段$ k $的任意特征$ {\ rm char}（k）= p \ geq 0 $，将du Val的经典作品概括为积极特征。此外，我们为所有RDP Del Pezzo表面提供了简化的方程，该表面$ 1 $，包含非TAUT合理双点。
We determine all configurations of rational double points that occur on RDP del Pezzo surfaces of arbitrary degree and Picard rank over an algebraically closed field $k$ of arbitrary characteristic ${\rm char}(k)=p \geq 0$, generalizing classical work of Du Val to positive characteristic. Moreover, we give simplified equations for all RDP del Pezzo surfaces of degree $1$ containing non-taut rational double points.
