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2016 Kummer theory for Drinfeld modules
Richard Pink
Algebra Number Theory 10(2): 215-234 (2016). DOI: 10.2140/ant.2016.10.215

Abstract

Let ϕ be a Drinfeld A-module of characteristic p0 over a finitely generated field K. Previous articles determined the image of the absolute Galois group of K up to commensurability in its action on all prime-to-p0 torsion points of ϕ, or equivalently, on the prime-to-p0 adelic Tate module of ϕ. In this article we consider in addition a finitely generated torsion free A-submodule M of K for the action of A through ϕ. We determine the image of the absolute Galois group of K up to commensurability in its action on the prime-to-p0 division hull of M, or equivalently, on the extended prime-to-p0 adelic Tate module associated to ϕ and M.

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Richard Pink. "Kummer theory for Drinfeld modules." Algebra Number Theory 10 (2) 215 - 234, 2016. https://doi.org/10.2140/ant.2016.10.215

Information

Received: 21 February 2012; Revised: 11 July 2012; Accepted: 5 November 2012; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1382.11044
MathSciNet: MR3477742
Digital Object Identifier: 10.2140/ant.2016.10.215

Subjects:
Primary: 11G09
Secondary: 11R58

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.10 • No. 2 • 2016
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