Inose's construction and elliptic K3 surfaces with Mordell-Weil rank 15 revisited

被引：0
|
作者：
Kumar, Abhinav [1 ]
Kuwata, Masato [2 ]
机构：
[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
[2] Chuo Univ, Fac Econ, 742-1 Higashinakano, Hachioji, Tokyo 1920393, Japan
来源：
HIGHER GENUS CURVES IN MATHEMATICAL PHYSICS AND ARITHMETIC GEOMETRY | 2018年 / 703卷
关键词：
Elliptic K3 surface; Jacobian; Kummer surface; Inose fibration; QM-CURVES; GENUS; 2;
D O I：
10.1090/conm/703/14134
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe two constructions of elliptic K3 surfaces starting from the Kummer surface of the Jacobian of a genus 2 curve. These parallel the base-change constructions of Kuwata for the Kummer surface of a product of two elliptic curves. One of these also involves the analogue of an Inose fibration. We use these methods to provide explicit examples of elliptic K3 surfaces over the rationals of geometric Mordell-Weil rank 15.
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页码：131 / 141
页数：11
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