Mordell–Weil groups and automorphism groups of elliptic K3 surfaces

• Ichiro Shimada ^[1]
  1. [1] Hiroshima University

     Hiroshima University

     Naka-ku, Japón

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 4, 2024, págs. 1469-1503
• Idioma: inglés
• DOI: 10.4171/RMI/1449
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• Resumen

  • 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.