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arXiv · 1008.3812

Normal subgroups of fundamental groups of affine curves in positive characteristic II

Amilcar Pacheco·Pavel Zalesskii·Katherine F. Stevenson
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Abstract

Let $k$ be an algebraically closed field of characteristic $p>0$ and let $C/k$ be a smooth connected affine curve. Denote by $π_1(C)$ its algebraic fundamental group. The goal of this paper is to characterize a certain subset of closed normal subgroups $N$ of $π_1(C)$. In "Normal subgroups of fundamental groups of affine curves in positive characteristic" we proved the same result under the additional hypothesis that $k$ had countable cardinality.

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Amilcar Pacheco, Pavel Zalesskii, Katherine F. Stevenson. 2013-12-01. Normal subgroups of fundamental groups of affine curves in positive characteristic II. https://arxiv.org/abs/1008.3812

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