Resumen de Mordell–Weil groups and automorphism groups of elliptic K3 surfaces

Ichiro Shimada

• 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.