Fundamental groups of complements of curves as solvable groups
Abstract
Description
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.
To be published in IMCP 9 (Proceedings of Hirzebruch 65-birthday)
To be published in IMCP 9 (Proceedings of Hirzebruch 65-birthday)