turkmath.org

Restriction varieties in the orthogonal Grassmannian are subvarieties of OG(k, n) defined by rank conditions given by a flag that is not necessarily isotropic with respect to the relevant symmetric bilinear form. In particular orthogonal Schubert varieties are examples of restriction varieties. In this talk, I will describe a resolution of singularities for restriction varieties which is inspired by the Bott-Samelson/Zelevinsky resolution and describe their singular locus. I will also discuss the relation between the singular locus and the image of the resolution of singularities.