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arXiv · 0903.4472

The fundamental group of affine curves in positive characteristic

Manish Kumar
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Abstract

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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Manish Kumar. 2009-03-25. The fundamental group of affine curves in positive characteristic. https://arxiv.org/abs/0903.4472

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