arXiv subjects

Nivaldo G. Grulha Jr

Publications and source records attributed to Nivaldo G. Grulha Jr.

2 recordsLinked to original sources

arXiv2017

The Bi-Lipschitz Equisingularity of Essentially Isolated Determinantal Singularities

The bi-Lipschitz geometry is one of the main subjects in the modern approach of Singularity Theory. However, it rises from works of important mathematicians of the last century, especially Zariski. In this work we investigate the Bi-Lipschitz equisingularity of families of Essentially Isolated Determinantal Singularities inspired by the approach of Mostowski and Gaffney.

math.CA↗

arXiv2017

Global Euler obstruction, global Brasselet numbers and critical points

Let $X \subset \Bbb{C}^n$ be an equidimensional complex algebraic set and let $f: X \to \mathbb{C}$ be a polynomial function. For each $c \in \Bbb{C}$, we define the global Brasselet number of $f$ at $c$, a global counterpart of the Brasselet number defined by the authors in a previous work, and the Brasselet number at infinity of $f$ at $c$. Then we establish several formulas relating these numbers to the topology of $X$ and the critical points of $f$.

math.AG↗