Mathematics – Algebraic Geometry
Scientific paper
2011-03-06
Mathematics
Algebraic Geometry
Minor revision. 21 pages
Scientific paper
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.
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