3 problems

Let $C_1$ denote the rank-one locus of the relevant catalecticant variety, let $A$ be a point on $C_1$, and let $\phi(A)$ be its image under the map $\phi$. Seven-Pfaffian conjectu…

Let $f$ be a ternary quartic of real rank $6$ and signature $(3,3)$, $(4,2)$, or $(5,1)$. Let $\operatorname{VSP}(f)_\mathbb{R}$ be the real points of the variety of sums of powers…

Let $f$ be a ternary quartic, let $C(f)$ be its middle catalecticant, and let $\operatorname{disc}(f)$ and $\operatorname{Bdisc}(f)$ denote respectively the discriminant and the Bl…