Variety of apolar schemes to powers of quadrics

Grzegorz Kapustka, Michał Kapustka, Kristian Ranestad

We study the variety ${\mathrm{VAPS}}_{\mathrm{G}}({\mathrm{q}}_2^3,10)$ (resp. ${\mathrm{VAPS}}_{\mathrm{G}}({\mathrm{q}}_3^2,10)$), a Grassmannian compactification of the variety of finite schemes of length $10$ apolar to $q_2^3$…