A Morse theoretic approach to non-isolated singularities and applications to optimization

Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang

Let $X$ be a complex affine variety in ${\mathbb{C}}^N$, and let $f:{\mathbb{C}}^N\to \mathbb{C}$ be a polynomial function whose restriction to $X$ is nonconstant. For $g:\mathbb{C}^N…