2 problems

Let $\mathfrak{A}$ be the complement of a spiky hyperplane in a product of projective spaces. Line-completion conjecture. The family of lines of $\mathfrak{A}$ cannot be completed…

Let $\mathfrak{A}_1$, $\mathfrak{A}_2$, and $\mathfrak{A}_3$ be respectively the complement of a spiky hyperplane in the product of polar spaces, Grassmann spaces, and polar Grassm…