The fundamental group of affine curves in positive characteristic

Details The fundamental group of affine curves in positive characteristic The fundamental group of affine curves in positive characteristic

2009-03-25

arxiv.org/abs/0903.4472v3

Mathematics

Algebraic Geometry

22 pages. Some errors corrected and gaps fixed. Some more consequences added. Comments are very much welcome

Scientific paper

It is shown that the commutator subgroup of the fundamental group of a smooth
affine curve over an uncountable algebraically closed field $k$ of positive
characteristic is a profinite free group of rank equal to the cardinality of
$k$.

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