On the maximum field of linearity of linear sets

Bence Csajbók, Giuseppe Marino, Valentina Pepe

Let $V$ denote an $r$-dimensional ${\mathbb{F}}_{q^n}$-vector space. For an $m$-dimensional ${\mathbb{F}}_q$-subspace $U$ of $V$ assume that $\dim_q \left(\langle {\bf v}\rangle_{\math…