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

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

2010-08-23

arxiv.org/abs/1008.3812v2

Mathematics

Algebraic Geometry

This paper has been withdrawn by the authors. This paper will be under review during the next months. When a new version is re

Scientific paper

Let $k$ be an algebraically closed field of characteristic $p>0$ and let $C/k$ be a smooth connected affine curve. Denote by $\pi_1(C)$ its algebraic fundamental group. The goal of this paper is to characterize a certain subset of closed normal subgroups $N$ of $\pi_1(C)$. 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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