English

Connectivity via nongeneric pencils

Algebraic Geometry 2007-05-23 v1 Complex Variables

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 Cn\mathbb C^n.

Keywords

Cite

@article{arxiv.math/0202123,
  title  = {Connectivity via nongeneric pencils},
  author = {Mihai Tibar},
  journal= {arXiv preprint arXiv:math/0202123},
  year   = {2007}
}

Comments

to appear in Internat. J. Math