31 citations · 47 across the 5 of their papers we have counts for
9 papers
Curvature and Gauss-Bonnet defect of global affine hypersurfaces
Dirk Siersma, Mihai Tibar
The total curvature of complex hypersurfaces in $\bC^{n+1}$ and its variation in families appear to depend not only on singularities but also on the behaviour in the neighbourhood…
Milnor numbers and Euler obstruction
Jose Seade, Mihai Tibar, Alberto Verjovsky
We determine the relation between the local Euler obstruction of a holomorphic function and different generalizations of the Milnor number for functions on singular spac…
Global Euler obstruction and polar invariants
Jose Seade, Mihai Tibar, Alberto Verjovsky
For an affine complex algebraic singular space Y, we define a global Euler obstruction Eu(Y) which extends the Euler-Poincare characteristic of a nonsingular Y. Using Lefschetz pen…
Topological equivalence of complex polynomials
Arnaud Bodin, Mihai Tibar
The following numerical control over the topological equivalence is proved: two complex polynomials in variables and with isolated singularities are topologically equiva…
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…