A connectedness criterion for ℓ-adic galois representations-adic galois representations

被引：0

作者：

Michael Larsen

Richard Pink

机构：

[1] University of Pennsylvania,Department of Mathematics

[2] Universität Mannheim,Fakultät für Mathematik und Informatik

来源：

Israel Journal of Mathematics | 1997年 / 97卷

关键词：

Characteristic Polynomial; Abelian Variety; Maximal Torus; Galois Representation; Finite Extension;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

To every compatible system of Galois representations of a global fieldK, there is associated a natural invariantKconn, the smallest extension ofK over which the associated algebraic monodromy groups become connected. We present a purely field-theoretic construction ofKconn for all Galois representations arising from cohomology.

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页码：1 / 10

页数：9

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