Geodesic
Automorphisms and forms of toric quotients of homogeneous spaces
Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1521-1536

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

We compute the automorphism group of the quotient of a generalized Grassmannian $G/P$ by the action of a maximal torus of the semisimple group $G$. We classify the twisted forms of such quotients, that is, varieties isomorphic to these quotients over an algebraic closure of the base field. It is proved that all such forms are unirational. Bibliography: 20 titles.
Keywords: homogeneous spaces, twisted forms, torsors.
Mots-clés : tori 
@article{SM_2009_200_10_a5,
     author = {A. N. Skorobogatov},
     title = {Automorphisms and forms of toric quotients of homogeneous spaces},
     journal = {Sbornik. Mathematics},
     pages = {1521--1536},
     publisher = {mathdoc},
     volume = {200},
     number = {10},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2009_200_10_a5/}
}
TY  - JOUR
AU  - A. N. Skorobogatov
TI  - Automorphisms and forms of toric quotients of homogeneous spaces
JO  - Sbornik. Mathematics
PY  - 2009
SP  - 1521
EP  - 1536
VL  - 200
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2009_200_10_a5/
LA  - en
ID  - SM_2009_200_10_a5
ER  - 
%0 Journal Article
%A A. N. Skorobogatov
%T Automorphisms and forms of toric quotients of homogeneous spaces
%J Sbornik. Mathematics
%D 2009
%P 1521-1536
%V 200
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2009_200_10_a5/
%G en
%F SM_2009_200_10_a5
A. N. Skorobogatov. Automorphisms and forms of toric quotients of homogeneous spaces. Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1521-1536. http://geodesic.mathdoc.fr/item/SM_2009_200_10_a5/