The fundamental group of affine curves in positive characteristic

2009/03/25 by Kumar, Manish · 1 citation
#14H30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0903.4472

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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• Class field theory for function fields and finite abelian torsors

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• Fundamental Group in nonzero characteristic
• Subgroup structure of fundamental groups in positive characteristic
• Normal subgroups of fundamental groups of affine curves in positive characteristic II
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