On some subvarieties of the Grassmann variety

Luca Giuzzi, Valentina Pepe

Let $\mathcal{S}$ be a Desarguesian $(t-1)$--spread of $PG(rt-1,q)$, $\Pi$ a $m$-dimensional subspace of $PG(rt-1,q)$ and $\Lambda$ the linear set consisting of the elements of $\mathcal{S}$…