Mathematics – Algebraic Geometry
Scientific paper
2009-12-26
Mathematics
Algebraic Geometry
WithDrawn. Incomplete
Scientific paper
Let $\pi_1(C)$ be the fundamental group of a smooth irreducible affine curve
$C$ over an algebraically closed field of positive characteristic. It is shown
that given an embedding problem for $\pi_1(C)$ there exist an open index $p$
normal subgroup of $\pi_1(C)$ so that the embedding problem restricted to this
group has a solution. In particular, $\pi_1(C)$ is "almost $\omega$-free".
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