a 2-torus action on C^3 can be defined by(adsbygoogle = window.adsbygoogle || []).push({});

(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.

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# Orbit type strata

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