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math.AG2006
Singular loci of Grassmann-Hibi toric varieties
Justin A. Brown, V. Lakshmibai
For the toric variety X associated to the Bruhat poset of Schubert varieties in the Grassmannian, we describe the singular locus in terms of the faces of the associated polyhedral…
math.AG2006
Standard monomial bases, moduli of vector bundles, and invariant theory
V. Lakshmibai, K. N. Raghavan, P. Sankaran +1
Consider the diagonal action of the special orthogonal group on the direct sum of a finite number of copies of the standard representation--the underlying field is assumed to be al…