论文标题
mordell-weil群体和椭圆形k3表面的自动形态组
Mordell-Weil groups and automorphism groups of elliptic K3 surfaces
论文作者
论文摘要
我们提出了一种计算椭圆形K3表面的mordell-weil组在K3表面的数值néron-Severi晶格上的作用。作为应用程序,我们计算了沿着6固定的圆环类型的6固定式六曲线分支的K3表面birational的自动形构成的有限生成集。
We present a method to calculate the action of the Mordell-Weil group of an elliptic K3 surface on the numerical Néron-Severi lattice of the K3 surface. As an application, we compute a finite generating set of the automorphism group of a K3 surface birational to the double plane branched along a 6-cuspidal sextic curve of torus type.