Geodesic
On the birational classification of algebraic group actions
Izvestiya. Mathematics , Tome 65 (2001) no. 1, pp. 57-70

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

In this paper we show that, in a number of cases, the birational classification of some actions of an arbitrary algebraic group can be reduced to the birational classification of locally free actions of reductive groups. We prove the existence of ordinary and relative sections for some actions 
@article{IM2_2001_65_1_a2,
     author = {V. \'E. Kordonskii},
     title = {On the birational classification of algebraic group actions},
     journal = {Izvestiya. Mathematics },
     pages = {57--70},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a2/}
}
TY  - JOUR
AU  - V. É. Kordonskii
TI  - On the birational classification of algebraic group actions
JO  - Izvestiya. Mathematics 
PY  - 2001
SP  - 57
EP  - 70
VL  - 65
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a2/
LA  - en
ID  - IM2_2001_65_1_a2
ER  - 
%0 Journal Article
%A V. É. Kordonskii
%T On the birational classification of algebraic group actions
%J Izvestiya. Mathematics 
%D 2001
%P 57-70
%V 65
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a2/
%G en
%F IM2_2001_65_1_a2
V. É. Kordonskii. On the birational classification of algebraic group actions. Izvestiya. Mathematics , Tome 65 (2001) no. 1, pp. 57-70. http://geodesic.mathdoc.fr/item/IM2_2001_65_1_a2/