Standard Monomial Theory for desingularized Richardson varieties in the flag variety GL(n)/B
Algebraic Geometry
2013-05-23 v3 Combinatorics
Representation Theory
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.
Keywords
Cite
@article{arxiv.1107.3654,
title = {Standard Monomial Theory for desingularized Richardson varieties in the flag variety GL(n)/B},
author = {Michaël Balan},
journal= {arXiv preprint arXiv:1107.3654},
year = {2013}
}