Author:
Banaszak Grzegorz,Krasoń Piotr
Abstract
AbstractLetXbe a smooth, proper and geometrically irreducible curveXdefined over a number fieldFand letχbe a regular and proper model ofXoverOF,Sl. In this paper we address the problem of detecting the linear dependence over ℤlof elements in the étaleK-theory ofχ. To be more specific, letP∊Ket2n(χ)and let ⋀̂ ⊂Ket2n(χ)be a ℤl-submodule. Letrυ:Ket2n(χ)→Ket2n(χυ)be the reduction map for υ ∉Sl. We prove, under some conditions onX, that ifrυ($\(P)_circumflex\$) ∈rυ(⋀̂) for almost all υ of$\mathematical script capital(O) F,Sl\$then$\(P)_circumflex\$∈ ⋀̂ +Ket2n(χ)tor.
Publisher
Cambridge University Press (CUP)
Subject
Geometry and Topology,Algebra and Number Theory
Cited by
5 articles.
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