a 2-torus action on C^3 can be defined by (a,b).(x,y,z)= (abx, a^-1by, bz) What are the orbit type strata of C^3 here? 2-torus can be thought of (S^1)^2. 0 is the only fixed point I can tell, so it's one strata. I just don't understand this seemingly simple action.