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Fundamental groups of complements of curves as solvable groups

Boris Moishezon·Mina Teicher
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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.

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Boris Moishezon, Mina Teicher. 1995-02-16. Fundamental groups of complements of curves as solvable groups. https://arxiv.org/abs/alg-geom/9502015

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