Fundamental Group in nonzero characteristic

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Keywords

Algebraic Geometry, Commutative Algebra, 12E30; 14H30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/120384

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610093
 http://arxiv.org/abs/math/0610093

Collections

arXiv