3 problems

Let $\mathbb{K}$ be a field, let $d\geq 2$ be an integer, and let $P\in\mathbb{K}[x_1,\dots,x_n]_d$ be a homogeneous polynomial of degree $d$. Suppose that … Here…

Let $\mathbb{K}$ be a field with … and let $P\in\mathbb{K}[x_1,\dots,x_n]_d$ be a homogeneous polynomial of degree $d$. Here $\operatorname{str}_{\mathbb{K}}(P)$ denotes the streng…

Let $f$ be a general form of degree $d\geq2$ in $n+1$ variables. Write $\mathrm{str}(f)$ for its strength and $\mathrm{sl.rk}_{n,d}^\circ$ for the general slice rank in degree $d$…