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arXiv · 2109.01929

On N\'eron-Severi lattices of Jacobian elliptic K3 surfaces

Adrian Clingher·Andreas Malmendier
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Abstract

We classify all Jacobian elliptic fibrations on K3 surfaces with finite automorphism group. We also classify all Jacobian elliptic fibrations with finite Mordell-Weil group on K3 surfaces with infinite automorphism group and 2-elementary N\'eron-Severi lattice. As part of the classification, we compute the lattice theoretic multiplicities of all Jacobian elliptic fibrations in both cases.

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Adrian Clingher, Andreas Malmendier. 2021-09-04. On N\'eron-Severi lattices of Jacobian elliptic K3 surfaces. https://doi.org/10.1007/s00229-023-01486-3

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