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Deformation of $\ell$-adic sheaves with Undeformed Local Monodromy

Abstract

Let $X$ be a smooth connected algebraic curve over an algebraically closed field $k$. We study the deformation of $\ell$-adic Galois representations of the function field of $X$ while keeping the local Galois representations at all places undeformed.Comment: 21 pages. To appear in Journal of Number Theor

Topics: Mathematics - Algebraic Geometry, Mathematics - Number Theory, 14D15
Year: 2012
OAI identifier: oai:arXiv.org:1103.1093