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Homotopy groups of complements and non-isolated singularities

Anatoly Libgober, Mihai Tibar

math.AGarXiv:math/0202048

Abstract

We obtain sufficient conditions for the vanishing of higher homotopy groups of the complements to hypersurfaces in Cn in terms of the behavior at infinity and relate the monodromy of non isolated singularities to the position of singularities in generic plane sections.

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