Is there a reference showing that the space $\bar{M_{g,n}}$ is a closed oriented orbifold and it is Hausdorff? Note: here $\bar{M_{g,n}}$ is not the Deligne-Mumford space in the usual algebraic geometry; it is the moduli space for smooth or nodal Riemann surfaces with genus $g$ and $n$ marked smooth points such that it satisfies the stability condition. Thanks!

Take the 2-minute tour
×

MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

doesanalytify to the moduli stack for the analytic category; this is not a matter of mere definitions). – BCnrd Jul 5 '10 at 1:51