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arXiv · 2210.01328

Mordell-Weil groups and automorphism groups of elliptic K3 surfaces

Ichiro Shimada
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Abstract

We present a method to calculate the action of the Mordell-Weil group of an elliptic K3 surface on the numerical N\'eron-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.

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Ichiro Shimada. 2022-10-04. Mordell-Weil groups and automorphism groups of elliptic K3 surfaces. https://arxiv.org/abs/2210.01328

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