Fundamental groups of complements of curves as solvable groups
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We discuss the applications of fundamental groups (of complements of curves) computations (and possibly the computations of the second homotopy group as a model over it) to the classification of algebraic surface. We prove that the fundamental group of the complement of the branch curve of a generic projection of a Veronese surface to the complex plane is an "almost solvable" group in the sense that it contains a solvable group of finite index and thus we can consider the second fundamental group as model over the first.
Cite
@article{arxiv.alg-geom/9502015,
title = {Fundamental groups of complements of curves as solvable groups},
author = {Boris Moishezon and Mina Teicher},
journal= {arXiv preprint arXiv:alg-geom/9502015},
year = {2008}
}
Comments
To be published in IMCP 9 (Proceedings of Hirzebruch 65-birthday)