Abstract:
This paper continues the study of the variation of the Mumford quotient by the action
of a maximal torus TT on a flag variety G/BG/B in terms of its dependence on the projective embedding
G/B↪P(V(χ)).
In the case when G is of type Al, 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.
S. Senthamarai Kannan, Springer Proceedings in Mathematics & Statistics, 82, Groups of Exceptional Type, Coxeter Groups and Related Geometries, 2014, 189