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arXiv:0903.4472 [math.AG]AbstractReferencesReviewsResources

The fundamental group of affine curves in positive characteristic

Manish Kumar

Published 2009-03-25, updated 2011-05-20Version 3

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 $k$.

Comments: 22 pages. Some errors corrected and gaps fixed. Some more consequences added. Comments are very much welcome
Categories: math.AG
Subjects: 14H30
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