Fundamental Group in nonzero characteristic

Details Fundamental Group in nonzero characteristic Fundamental Group in nonzero characteristic

2006-10-03

arxiv.org/abs/math/0610093v4

Mathematics

Algebraic Geometry

The main theorem (Theorem 4.1) now asserts the result for only countable fields. Proofs of patching results have been simplifi

Scientific paper

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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