On Néron–Severi lattices of Jacobian elliptic K3 surfaces

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 Néron–Severi lattice. As part of the classification, we comput...

Full description

Saved in:
Bibliographic Details
Published in:Manuscripta mathematica 2024-03, Vol.173 (3-4), p.847-866
Main Authors: Clingher, Adrian, Malmendier, Andreas
Format: Article
Language:English
Subjects:
Algebraic Geometry
Automorphisms
Calculus of Variations and Optimal Control
Optimization
Classification
Geometry
Lattices
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 Néron–Severi lattice. As part of the classification, we compute the lattice theoretic multiplicities of all Jacobian elliptic fibrations in both cases.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-023-01486-3