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arxiv: math/0202048 · v1 · submitted 2002-02-06 · 🧮 math.AG · math.CV

Homotopy groups of complements and non-isolated singularities

classification 🧮 math.AG math.CV
keywords singularitiescomplementsgroupshomotopybehaviorconditionsgenerichigher
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We obtain sufficient conditions for the vanishing of higher homotopy groups of the complements to hypersurfaces in ${\mathbb C}^n$ 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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