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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