On Selmer groups of abelian varieties over ℓ-adic Lie extensions of global function fields

被引：0

作者：

Andrea Bandini

Maria Valentino

机构：

[1] Università degli Studi di Parma,Dipartimento di Matematica e Informatica

[2] Università della Calabria,Dipartimento di Matematica e Informatica

来源：

Bulletin of the Brazilian Mathematical Society, New Series | 2014年 / 45卷

关键词：

Selmer groups; abelian varieties; function fields; pseudo-null modules; Primary: 11R23; Secondary: 11G35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let F be a global function field of characteristic p > 0 and A/F an abelian variety. Let K/F be an ℓ-adic Lie extension (ℓ ≠ p) unramified outside a finite set of primes S and such that Gal(K/F) has no elements of order ℓ. We shall prove that, under certain conditions, SelA(K)ℓ∨ has no nontrivial pseudo-null submodule.

引用

页码：575 / 595

页数：20

共 25 条

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