On Reconstructing Configurations of Points in ${\mathbb{P}}^2$ from a Joint Distribution of Invariants

Mireille Boutin, Gregor Kemper

Consider the diagonal action of the projective group $\PGL_3$ on $n$ copies of ${\mathbb{P}}^2$. In addition, consider the action of the symmetric group ${\Sigma }_n$ by permuting the copie…