On the rank of abelian varieties over function fields

被引：0

作者：

Amílcar Pacheco

机构：

[1] Universidade Federal do Rio de Janeiro (Universidade do Brasil),Departamento de Matemática Pura

来源：

manuscripta mathematica | 2005年 / 118卷

关键词：

Number Theory; Algebraic Geometry; Topological Group; Function Field; Abelian Variety;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let [inline-graphic not available: see fulltext] be a smooth projective curve defined over a number field k, A/k([inline-graphic not available: see fulltext]) an abelian variety and (τ, B) the k([inline-graphic not available: see fulltext])/k-trace of A. We estimate how the rank of A(k([inline-graphic not available: see fulltext]))/τB(k) varies when we take a finite geometrically abelian cover [inline-graphic not available: see fulltext] defined over k.

引用

页码：361 / 381

页数：20

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