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Fundamental Group in nonzero characteristic

Manish Kumar
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Abstract

A proof of freeness of the commutator subgroup of the fundamental group of a smooth irreducible affine curve over a countable algebraically closed field of nonzero characteristic. A description of the abelianizations of the fundamental groups of smooth affine curves over an algebracially closed field of nonzero characteristic is also given.

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Manish Kumar. 2006-12-20. Fundamental Group in nonzero characteristic. https://arxiv.org/abs/math/0610093

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