Unobstructed Stanley-Reisner Degenerations for Dual Quotient Bundles on $G(2,n)$

Abstract

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

17 pages

Cited by in corpus (2)

• Ideals of the form $I_1(XY)$
• Singularities and radical initial ideals