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Standard Monomial Theory for desingularized Richardson varieties in the flag variety GL(n)/B
Published 19 Jul 2011 in math.AG, math.CO, and math.RT | (1107.3654v3)
Abstract: We consider a desingularization Gamma of a Richardson variety X_wv=X_w \cap Xv in the flag variety Fl(n)=GL(n)/B, obtained as a fibre of a projection from a certain Bott-Samelson variety Z. We then construct a basis of the homogeneous coordinate ring of Gamma inside Z, indexed by combinatorial objects which we call w_0-standard tableaux.
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