2 problems

Let $P$ be a smooth monomial Togliatti system of cubics in $k[x_0,\ldots,x_n]$, defining a projective variety of dimension $n$. The truncated-simplex system is … which has dimensio…

Let $P$ be a smooth monomial Togliatti system of cubics, and consider the family of smooth monomial Togliatti systems of cubics obtained by the procedure described immediately befo…