5 papers
Poincaré-Hopf Theorem for Isolated Determinantal Singularities
N. G. Grulha, M. S. Pereira, H. Santana
Let be a projective algebraic -variety endowed with isolated determinantal singularities, and let be a -form on exhibiting a finite number of singularities (in th…
The geometrical information encoded by the Euler obstruction of a map
Nivaldo G. Grulha, Camila Ruiz, Hellen Santana
In this work we investigate the topological information captured by the Euler obstruction of a map, , with a germ of a complex -equidimens…
About relative polar varieties and Brasselet numbers
Hellen Santana
In this work, we study the consequences of an empty polar variety on the topology of a function-germ with (possibly) nonisolated singularities defined on a singular variety.
Local topology of a deformation of a function-germ with a one-dimensional critical set
Hellen Santana
The Brasselet number of a function with nonisolated singularities describes numerically the topological information of its generalized Milnor fibre. In this work, we consider t…
Brasselet number and function-germs with a one-dimensional critical set
Hellen Santana
The Brasselet number of a function with nonisolated singularities describes numerically the topological information of its generalized Milnor fibre. In this work, using the Bra…