arXiv Analytics

Sign in

arXiv:math/0610093 [math.AG]AbstractReferencesReviewsResources

Fundamental Group in nonzero characteristic

Manish Kumar

Published 2006-10-03, updated 2006-12-20Version 4

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.

Comments: The main theorem (Theorem 4.1) now asserts the result for only countable fields. Proofs of patching results have been simplified
Categories: math.AG, math.AC
Subjects: 12E30, 14H30
Related articles: Most relevant | Search more
arXiv:1409.1345 [math.AG] (Published 2014-09-04)
Embedding problems for open subgroups of the fundamental group
arXiv:0903.4472 [math.AG] (Published 2009-03-25, updated 2011-05-20)
The fundamental group of affine curves in positive characteristic
arXiv:math/0010182 [math.AG] (Published 2000-10-18)
Fundamental group of sextics of torus type

Links

Toolbox