Abstract:
This paper continues the study of the variation of the Mumford quotient by the action
of a maximal torus $T$ on a flag variety $G/B$ in terms of its dependence on the projective embedding
$G/B\hookrightarrow\mathbb P(V(\chi))$.
In the case when $G$ is of type $A_l$, the Picard group of the quotient
$(G/B)^{ss}/\!/T$ is calculated under the assumption that the $T$-linearization comes
from the standard $G$-linearization.
Bibliography : 12 titles.