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

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作者
Michael Larsen
Richard Pink
机构
[1] University of Pennsylvania,Department of Mathematics
[2] Universität Mannheim,Fakultät für Mathematik und Informatik
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Characteristic Polynomial; Abelian Variety; Maximal Torus; Galois Representation; Finite Extension;
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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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