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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

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