Deformation of ℓ-adic sheaves with Undeformed Local Monodromy

2011/03/06 by Lei Fu, Fu, Lei
Mathematics · #14D15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:14D15

paper · pdf · doi:10.48550/arxiv.1103.1093

21 pages. To appear in Journal of Number Theory

arxiv created 2012/09/29 · arxiv updated 2012/10/02

Abstract

Let X be a smooth connected algebraic curve over an algebraically closed field k. We study the deformation of ℓ-adic Galois representations of the function field of X while keeping the local Galois representations at all places undeformed.

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