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Connectivity via nongeneric pencils

Mihai Tibar
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Abstract

We use slicing by nongeneric pencils of hypersurfaces and prove a new theorem of Lefschetz type for singular non compact spaces, at the homotopy level. As applications, we derive results on the topology of the fibres of polynomial functions or the topology of complements of hypersurfaces in $\mathbb C^n$.

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Mihai Tibar. 2002-02-13. Connectivity via nongeneric pencils. https://arxiv.org/abs/math/0202123

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