We investigate the problem of closedness of (relative) orbits for the actions of algebraic tori on affine varieties defined over locally compact local fields of any characteristic.
Classification :
14L24, 14L30, 20G15
Mots-clés :
Algebraic group actions, Galois cohomology, tori
Affiliations des auteurs :
Dao Phuong Bac
1
;
Nguyen Quoc Thang
2
1
Dept. of Mathematics, VNU University of Science, 334-Nguyen Trai - Hanoi, Vietnam
2
Institute of Mathematics, 18-Hoang Quoc Viet, Hanoi, Vietnam
Dao Phuong Bac; Nguyen Quoc Thang. On the Topology of Relative Orbits for Actions of Algebraic Tori over Local Fields. Journal of Lie Theory, Tome 22 (2012) no. 4, pp. 1025-1038. http://geodesic.mathdoc.fr/item/JOLT_2012_22_4_a3/
@article{JOLT_2012_22_4_a3,
author = {Dao Phuong Bac and Nguyen Quoc Thang},
title = {On the {Topology} of {Relative} {Orbits} for {Actions} of {Algebraic} {Tori} over {Local} {Fields}},
journal = {Journal of Lie Theory},
pages = {1025--1038},
year = {2012},
volume = {22},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2012_22_4_a3/}
}
TY - JOUR
AU - Dao Phuong Bac
AU - Nguyen Quoc Thang
TI - On the Topology of Relative Orbits for Actions of Algebraic Tori over Local Fields
JO - Journal of Lie Theory
PY - 2012
SP - 1025
EP - 1038
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2012_22_4_a3/
ID - JOLT_2012_22_4_a3
ER -
%0 Journal Article
%A Dao Phuong Bac
%A Nguyen Quoc Thang
%T On the Topology of Relative Orbits for Actions of Algebraic Tori over Local Fields
%J Journal of Lie Theory
%D 2012
%P 1025-1038
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2012_22_4_a3/
%F JOLT_2012_22_4_a3
