Given a point on a Schubert variety in an orthogonal Grassmannian, we compute the multiplicity, more generally the Hilbert function. We first translate the problem from geometry to combinatorics byâ€¦ (More)

We compute the initial ideals, with respect to certain conveniently chosen term orders, of ideals of tangent cones at torus fixed points to Schubert varieties in orthogonal Grassmannians. The initialâ€¦ (More)

A Richardson variety X Î± in the Orthogonal Grassmannian is defined to be the intersection of a Schubert variety X in the Orthogonal Grassmannian and a opposite Schubert variety XÎ± therein. We give anâ€¦ (More)