The fundamental group of affine curves in positive characteristic
classification
🧮 math.AG
keywords
groupaffinecharacteristicfundamentalpositivealgebraicallycardinalityclosed
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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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