Re: Symmetrized complex space

I wrote:

So C^3/A_3 looks like

X = { (x,s,t,u) in C^4 : s t = u^3 }

which is nonsingular except at the origin. Even if you delete the
origin the surface is connected. I'm not sure what kind of Riemann
domain it is with the origin deleted, whether it's homeomorphic to
C^3.

I doubt it's a Riemann domain at all, that is no global map to C^3 that's
locally a homeomorphism.

Laura

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