Fundamental Group in nonzero characteristic
Algebraic Geometry
2007-05-23 v4 Commutative Algebra
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.
Cite
@article{arxiv.math/0610093,
title = {Fundamental Group in nonzero characteristic},
author = {Manish Kumar},
journal= {arXiv preprint arXiv:math/0610093},
year = {2007}
}
Comments
The main theorem (Theorem 4.1) now asserts the result for only countable fields. Proofs of patching results have been simplified