Global Euler obstruction, global Brasselet numbers and critical points

Nicolas Dutertre, Nivaldo G. Grulha

Let $X\subset {\mathbb{C}}^n$ be an equidimensional complex algebraic set and let $f:X\to \mathbb{C}$ be a polynomial function. For each $c\in \mathbb{C}$, we define the global Brassel…