A local to global question for linear functionals

George F. Seelinger, Wenhua Zhao

Let $F$ be an algebraically closed field and let $n\ge 3$. Consider $V=F^n$ with standard basis $\{{\vec{e}}_1,\dots ,{\vec{e}}_n\}$ and its dual space $V^*= {\mathrm{Hom}}_{F-{\mathr…