Standard Monomial Theory for desingularized Richardson varieties in the flag variety GL(n)/B

Details Standard Monomial Theory for desingularized Richardson varieties in the flag variety GL(n)/B Standard Monomial Theory for desingularized Richardson varieties in the flag variety GL(n)/B

2011-07-19

arxiv.org/abs/1107.3654v2

Mathematics

Algebraic Geometry

Gaps in proofs of Proposition 5.16 and Theorem 5.23 fixed

Scientific paper

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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