  Let $Q^*$ denote the dual of the quotient bundle on the Grassmannian
$G(2,n)$. We prove that the ideal of $Q^*$ in its natural embedding has initial
ideal equal to the Stanley-Reisner ideal of a certain unobstructed simplicial
complex. Furthermore, we show that the coordinate ring of $Q^*$ has no
infinitesimal deformations for $n>5$.
