On the Torus quotients of Schubert varieties

In this paper, we consider the GIT quotients of Schubert varieties for action a maximal torus. We describe minuscule which semistable locus is contained in smooth locus. As consequence, study smoothness torus Grassmannian. also prove that quotient any variety homogeneous space [Formula: see text] projectively normal with respect to line bundle and projective space, where parabolic subgroup are associated highest root text].