Mordell-Weil groups and automorphism groups of elliptic K3 surfaces
Algebraic Geometry
2023-09-19 v4
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.
Keywords
Cite
@article{arxiv.2210.01328,
title = {Mordell-Weil groups and automorphism groups of elliptic K3 surfaces},
author = {Ichiro Shimada},
journal= {arXiv preprint arXiv:2210.01328},
year = {2023}
}
Comments
32 pages. We made a slight modification of the wording