|
Journal of Lie Theory 22 (2012), No. 4, 1025--1038 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, 334-Nguyen Trai - Hanoi, Vietnam bacdp@vnu.edu.vn Nguyen Quoc Thang Institute of Mathematics, 18-Hoang 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 [ Fulltext-pdf (297 KB)] for subscribers only. |