3 problems

For $n\ge 3$, let $\mathbb{T}(n,d;x)'$ denote the set of minimally Terracini sets of $x$ points in $\mathbb{P}^n$ with respect to $\mathcal{O}_{\mathbb{P}^n}(d)$: these are sets…

Let $R={\mathbb C}[x,y,z]$, let $Y=\{P_1,\ldots,P_r\}$ be a general set of points in $\mathbb{P}^2$, and let $I_Y$ be its defining ideal. An irreducible homogeneous polynomial…

Let ${}_{\Sigma}L_p$ denote the family of spaces associated with the surface $\Sigma$, and let $[\,\ ]_{\theta}$ and $(\,\ )_{\theta,r}$ denote the complex and real interpolation m…