Geodesic
Variation of Mumford quotients by~torus actions on full
Sbornik. Mathematics, Tome 199 (2008) no. 3, pp. 341-359

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SM_2008_199_3_a1,
     author = {V. S. Zhgoon},
     title = {Variation of {Mumford} quotients by~torus actions on full},
     journal = {Sbornik. Mathematics},
     pages = {341--359},
     publisher = {mathdoc},
     volume = {199},
     number = {3},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2008_199_3_a1/}
}
TY  - JOUR
AU  - V. S. Zhgoon
TI  - Variation of Mumford quotients by~torus actions on full
JO  - Sbornik. Mathematics
PY  - 2008
SP  - 341
EP  - 359
VL  - 199
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2008_199_3_a1/
LA  - en
ID  - SM_2008_199_3_a1
ER  - 
%0 Journal Article
%A V. S. Zhgoon
%T Variation of Mumford quotients by~torus actions on full
%J Sbornik. Mathematics
%D 2008
%P 341-359
%V 199
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2008_199_3_a1/
%G en
%F SM_2008_199_3_a1
V. S. Zhgoon. Variation of Mumford quotients by~torus actions on full. Sbornik. Mathematics, Tome 199 (2008) no. 3, pp. 341-359. http://geodesic.mathdoc.fr/item/SM_2008_199_3_a1/