Unobstructed Stanley–Reisner degenerations for dual quotient bundles on G(2,n)

Let Q⁎Q⁎ denote the dual of the quotient bundle on the Grassmannian G(2,n)G(2,n). We prove that the ideal of Q⁎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⁎Q⁎ has no infinitesimal deformations for n>5n>5.