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arXiv:2210.01328 [math.AG]AbstractReferencesReviewsResources

Mordell-Weil groups and automorphism groups of elliptic K3 surfaces

Ichiro Shimada

Published 2022-10-04Version 1

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.

Comments: 28 pages
Categories: math.AG
Subjects: 14J28, 14Q10
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