Standard Monomial Theory for desingularized Richardson varieties in the flag variety GL(n)/B
arXiv:1107.3654 · doi:10.1007/s00031-013-9220-2
Abstract
We consider a desingularization Gamma of a Richardson variety X_w^v=X_w \cap X^v 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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