Distinct distances for points lying on curves in ${\mathbb{R}}^d$ -- the bipartite case

Hadas Baer-Erenfeld, Orit E. Raz

Let ${\gamma }_1,{\gamma }_2$ be a pair of constant-degree irreducible algebraic curves in ${\mathbb{R}}^d$. Assume that ${\gamma }_i$ is neither contained in a hyperplane nor in a quadric surface in $\math…