On N\'eron-Severi lattices of Jacobian elliptic K3 surfaces
Algebraic Geometry
2024-12-31 v8
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.
Keywords
Cite
@article{arxiv.2109.01929,
title = {On N\'eron-Severi lattices of Jacobian elliptic K3 surfaces},
author = {Adrian Clingher and Andreas Malmendier},
journal= {arXiv preprint arXiv:2109.01929},
year = {2024}
}
Comments
18 pages, 10 tables, 1 figure