2 problems

Let $\mathcal{P}_{k}^\nabla[\mathbb{R}^{2}]$ denote the set of proper gradient homotopy classes of proper maps $\mathbb{R}^{2}\to\mathbb{R}^{2}$ of degree $k$. Singleton conjecture…

Let $f\in \mathbb{C}[x_0,\ldots,x_n]$ be a reduced homogeneous polynomial, and let $V(f)$ be its associated projective hypersurface. Write $d=\operatorname{deg}(f)$ and let $d(f)$…