Plücker-type inequalities for mixed areas and intersection numbers of curve arrangements

Gennadiy Averkov, Ivan Soprunov

Any collection of $n$ compact convex planar sets $K_1,\dots ,K_n$ defines a vector of $\left(\genfrac{}{}{0ex}{}{n}{2}\right)$ mixed areas $V(K_i,K_j)$ for $1\le i<j\le n$. We show that for $n\ge 4$ thes…