Fundamental Group in nonzero characteristic

2006/10/03 by Manish Kumar, Kumar, Manish
Mathematics · #12E30 #14H30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0610093

openalex publication_date 2006/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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