Abstract
ABSTRACTRestriction 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, Schubert varieties of Type B and D are examples of restriction varieties. In this paper, we introduce a resolution of singularities for restriction varieties in OG(k,n), and give a description of their singular locus by studying components of the exceptional locus of the resolution.
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