
Journal of Lie Theory 22 (2012), No. 4, 10251038 Copyright Heldermann Verlag 2012 On the Topology of Relative Orbits for Actions of Algebraic Tori over Local Fields Dao Phuong Bac Dept. of Mathematics, VNU University of Science, 334Nguyen Trai  Hanoi, Vietnam bacdp@vnu.edu.vn Nguyen Quoc Thang Institute of Mathematics, 18Hoang Quoc Viet, Hanoi, Vietnam nqthang@math.ac.vn 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. Keywords: Algebraic group actions, Galois cohomology, tori. MSC: 14L24; 14L30, 20G15 [ Fulltextpdf (297 KB)] for subscribers only. 