Fundamental groups of complements of curves as solvable groups

Details Fundamental groups of complements of curves as solvable groups Fundamental groups of complements of curves as solvable groups

1995-02-16

arxiv.org/abs/alg-geom/9502015v1

Mathematics

Algebraic Geometry

To be published in IMCP 9 (Proceedings of Hirzebruch 65-birthday)

Scientific paper

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.

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