Hellen Santana

activity

20202026

collaborators

3 papers

math.GT2026

The Euler obstruction of a $1$ -form on a determinantal singularity

Anne Frühbis-Krüger, Hellen Santana

In this work, we investigate the connections between the local Euler obstruction and the Poincaré-Hopf-Nash (PHN) index of a $1$ -form in the setting of determinantal singularities.…

math.GT2023

Relative Bruce-Roberts number and Chern obstruction

Bárbara K. Lima Pereira, Maria Aparecida Soares Ruas, Hellen Santana

Let $(X, 0)$ be the germ of an equidimensional analytic set in $(C^{n}, 0)$ and $f = (f_{1}, f_{2})$ a map-germ into the plane defined on $X .$ In this work, we investigate topological…

math.GT2020

Stratified Morse critical points and Brasselet number on non-degenerate locally tame singularities

Thaís M. Dalbelo, Hellen Santana

The generalization of the Morse theory presented by Goresky and MacPherson is a landmark that divided completely the topological and geo\-me\-tri\-cal study of singular spaces. Let…

The Euler obstruction of a 1-form on a determinantal singularity

Relative Bruce-Roberts number and Chern obstruction

Stratified Morse critical points and Brasselet number on non-degenerate locally tame singularities

The Euler obstruction of a $1$ -form on a determinantal singularity