Rigidity of Bott-Samelson-Demazure-Hansen Variety for PSp (2n, C)

摘要

Let G=PSp(2n,C) (n >= 3) and B be a Borel subgroup of G containing a maximal torus T of G. Let w be an element of the Weyl group W and X(w) be the Schubert variety in the flag variety G/B corresponding to w. Let Z(w, (i) under bar) be the Bott-Samelson-Demazure-Hansen variety (the desingularization of X(w)) corresponding to a reduced expression (i) under bar of w.