Rational points on abelian varieties over function fields and Prym varieties

被引：0
作者：
Abolfazl Mohajer
机构：
[1] Johannes Gutenberg Universität Mainz,Institut für Mathematik
来源：
Archiv der Mathematik | 2021年 / 116卷
关键词：
Prym variety; Rational points; Galois covering; 14G05; 14H30; 14H40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, using a generalization of the notion of Prym variety for covers of projective varieties, we prove a structure theorem for the Mordell–Weil group of abelian varieties over function fields that are twists of abelian varieties by Galois covers of smooth projective varieties. In particular, the results we obtain contribute to the construction of Jacobians of high rank.
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页码：293 / 300
页数：7
相关论文
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