On Néron–Severi lattices of Jacobian elliptic K3 surfaces

被引：0
|
作者：
Adrian Clingher
Andreas Malmendier
机构：
[1] University of Missouri - St. Louis,Department of Mathematics and Statistics
[2] Utah State University,Department of Mathematics and Statistics
来源：
manuscripta mathematica | 2024年 / 173卷
关键词：
14J27; 14J28;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：847 / 866
页数：19
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