Connectivity via nongeneric pencils

Details Connectivity via nongeneric pencils Connectivity via nongeneric pencils

2002-02-13

arxiv.org/abs/math/0202123v1

Internat. J. Math. 13, 2 (2002), 111-123.

Mathematics

Algebraic Geometry

to appear in Internat. J. Math

Scientific paper

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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