$d$-Degree Erdős-Ko-Rado theorem for finite vector spaces

Yunjing Shan, Junling Zhou

Let $V$ be an $n$-dimensional vector space over the finite field ${\mathbb{F}}_q$ and let ${\left[\genfrac{}{}{0ex}{}{V}{k}\right]}_q$ denote the family of all $k$-dimensional subspaces of $V$. A fam…