31 citations · 47 across the 5 of their papers we have counts for
4 papers · 1 filter
Deformations of polynomials, boundary singularities and monodromy
Dirk Siersma, Mihai Tibar
We study the topology of polynomial functions by deforming them generically. We explain how the non-conservation of the total ``quantity'' of singularity in the neighbourhood of in…
Vanishing cycles of pencils of hypersurfaces
Mihai Tibar
We prove an extended Lefschetz principle for a large class of pencils of hypersurfaces having isolated singularities, possibly in the axis, and show that the module of vanishing cy…
Connectivity via nongeneric pencils
Mihai Tibar
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 r…
Homotopy groups of complements and non-isolated singularities
Anatoly Libgober, Mihai Tibar
We obtain sufficient conditions for the vanishing of higher homotopy groups of the complements to hypersurfaces in in terms of the behavior at infinity and relate t…