Geometries arising from trilinear forms on low-dimensional vector spaces

Ilaria Cardinali, Luca Giuzzi

Let ${\mathcal{G}}_k(V)$ be the $k$-Grassmannian of a vector space $V$ with $\dim V=n$. Given a hyperplane $H$ of ${\mathcal{G}}_k(V)$, we define in [I. Cardinali, L. Giuzzi, A. Pasi…